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Displaying Results 1  25 of 164 on page 1 of 7
Marked
Mark
A universal Dirac operator and noncommutative spin bundles over fuzzy complex projective spaces
(2008)
Dolan, Brian P.; Huet, Idrish; Murray, Sean; O’Connor, Denjoe
A universal Dirac operator and noncommutative spin bundles over fuzzy complex projective spaces
(2008)
Dolan, Brian P.; Huet, Idrish; Murray, Sean; O’Connor, Denjoe
Abstract:
We present a universal Dirac operator for noncommutative spin and spinc bundles over fuzzy complex projective spaces. We give an explicit construction of these bundles, which are described in terms of finite dimensional matrices, calculate the spectrum and explicitly exhibit the Dirac eigenspinors. To our knowledge the spinc spectrum for CPn with n ≥ 3 is new.
http://mural.maynoothuniversity.ie/2677/
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Ab Initio Calculation of Finite Temperature Charmonium Potentials
(2013)
Evans, P.W.M.; Allton, Chris; Skullerud, JonIvar
Ab Initio Calculation of Finite Temperature Charmonium Potentials
(2013)
Evans, P.W.M.; Allton, Chris; Skullerud, JonIvar
Abstract:
The interquark potential in charmonium states is calculated for the first time in both the zero and nonzero temperature phases from a firstprinciples lattice QCD calculation. Simulations with two dynamical quark flavours were used with temperatures T in the range 0.4Tc . T . 1.7Tc, where Tc is the deconfining temperature. The correlators of pointsplit operators were analysed to gain spatial information about the charmonium states. A method, introduced by the HAL QCD collaboration and based on the Schrodinger equation, was applied to obtain the interquark potential. We find a clear temperature dependence, with the central potential becoming flatter (more screened) as the temperature increases.
http://mural.maynoothuniversity.ie/4536/
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Ab initio calculation of finitetemperature charmonium potentials
(2014)
Evans, P.W.M.; Allton, Chris; Skullerud, JonIvar
Ab initio calculation of finitetemperature charmonium potentials
(2014)
Evans, P.W.M.; Allton, Chris; Skullerud, JonIvar
Abstract:
The interquark potential in charmonium states is calculated in both the zero and nonzero temperature phases from a firstprinciples lattice QCD calculation. Simulations with two dynamical quark flavors are used with temperatures T in the range 0.4Tc ≲ T ≲ 1.7Tc, where Tc is the deconfining temperature. The correlators of pointsplit operators are analyzed to gain spatial information about the charmonium states. A method introduced by the HAL QCD Collaboration and based on the Schrödinger equation is applied to obtain the interquark potential. We find a clear temperature dependence with the central potential agreeing with the Cornell potential in the confined phase and becoming flatter (more screened) as the temperature increases past the deconfining temperature. This is the first time the interquark potential has been calculated for realistic quarks at finite temperature.
http://mural.maynoothuniversity.ie/5643/
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Abelian and nonAbelian Hopfions in all odd dimensions
(2014)
Radu, Eugen; Tchrakian, D.H.
Abelian and nonAbelian Hopfions in all odd dimensions
(2014)
Radu, Eugen; Tchrakian, D.H.
Abstract:
We extend the definition of the topological charge pertaining to the CP1 (i.e. O(3)) SkyrmeFadde’ev Hopfion on IR3, to candidates for topological charges of CPn sigma models on IR2n+1, for all n. For this, the Abelian composite connections of the CPn sigma models are employed. In higher dimensions (n ≥ 1) it turns out that such charges, described by the non Abelian composite connections of suitable Grassmannian sigma models, can also be constructed. A concrete discussion of the nonAbelian case for n = 2 is presented.
http://mural.maynoothuniversity.ie/6180/
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Accelerated integral equation techniques for solving EM wave propagation and scattering problems
(2014)
Trinh, Dung
Accelerated integral equation techniques for solving EM wave propagation and scattering problems
(2014)
Trinh, Dung
Abstract:
This dissertation focuses on the development of the robust, efficient and accurate numerical methods of EM wave propagation and scattering from urban, rural areas and random rough surfaces. There are four main contributions of this dissertation.  The Improved Tabulated Interaction Method (ITIM) is proposed to compute EM wave propagation over lossy terrain profiles using a coupled surface integral equation formulation. The ITIM uses a common set of basis functions in conjunction with a simple matching technique to compress the original system to a reduced system containing considerably smaller number of unknowns and therefore provide a very efficient and accurate method.  Initial efforts in using the fullwave method to compute EM wave propagation over urban areas. The unaccelerated fullwave method has a massive computational burden. In order to reduce the computational complexity, Generalized Forward Backward Method (GFBM) is applied (note that the conventional Forward Backward ...
http://doras.dcu.ie/20175/
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Accurate and efficient fullwave modelling for indoor radio wave propagation
(2018)
Kavanagh, Ian
Accurate and efficient fullwave modelling for indoor radio wave propagation
(2018)
Kavanagh, Ian
Abstract:
The transition towards nextgeneration communication technologies has increased the need for accurate knowledge about the wireless channel. Knowledge of radio wave propagation is vital to the continued development of efficient wireless communications systems capable of providing a high data throughput and reliable connection. Thus, there is an increased need for accurate propagation models that can rapidly predict and describe the propagation channel. This is extremely challenging for indoor environments given the large variety of materials encountered and very complex and widely varying geometries.Currently, empirical or ray optical models are the most common for indoor propagation. Empirical models based on measurement campaigns provide limited accuracy, are very costly and timeconsuming but provide rapid predictions. Deterministic models are applied to the geometrical representation of the environment and are based on Maxwell’s equations. They can produce more accurate predictio...
http://doras.dcu.ie/22611/
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AdS/QHE: towards a holographic description of quantum Hall experiments
(2011)
Bayntun, Allan; Burgess, C. P.; Dolan, Brian P.; Lee, SungSik
AdS/QHE: towards a holographic description of quantum Hall experiments
(2011)
Bayntun, Allan; Burgess, C. P.; Dolan, Brian P.; Lee, SungSik
Abstract:
Transitions among quantum Hall plateaux share a suite of remarkable experimental features, such as semicircle laws and duality relations, whose accuracy and robustness are difficult to explain directly in terms of the detailed dynamics of the microscopic electrons. They would naturally follow if the lowenergy transport properties were governed by an emergent discrete duality group relating the different plateaux, but no explicit examples of interacting systems having such a group are known. Recent progress using the AdS/CFT correspondence has identified examples with similar duality groups, but without the dc ohmic conductivity characteristic of quantum Hall experiments. We use this to propose a simple holographic model for lowenergy quantum Hall systems, with a nonzero dc conductivity that automatically exhibits all of the observed consequences of duality, including the existence of the plateaux and the semicircle transitions between them. The model can be regarded as a strongly ...
http://mural.maynoothuniversity.ie/2609/
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Analysis and Modelling of Financial Logarithmic Return Data using Multifractal and AgentBased Techniques
(2014)
Green, Elena
Analysis and Modelling of Financial Logarithmic Return Data using Multifractal and AgentBased Techniques
(2014)
Green, Elena
Abstract:
In recent years physicists have become involved in studying the financial market and the vast data it generates. The constantlyupdated streams of information are a perfect testing ground for the hypothesis that the laws of statistical physics might apply to human behaviour. In this thesis, I study two empirical log return time series for the stylised facts of financial data. I then use Multifractal Detrended Fluctuation Analysis to study the empirical log returns for multifractal scaling. I find that extreme events are inimical to the scaling in highly leptokurtic data. I also find that the temporal correlations in the data are crucial to the scaling whereas the shape of its distribution is not as important. I then develop my own agentbased model of the market. With just a few different types of traders operating according to some simple rules, my model generates log returns with many of the statistical properties found in empirical data. The option for traders to opt out of tradi...
http://mural.maynoothuniversity.ie/6190/
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Automatically detecting “significant events” on SenseCam
(2013)
Li, Na; Crane, Martin; Ruskin, Heather J.
Automatically detecting “significant events” on SenseCam
(2013)
Li, Na; Crane, Martin; Ruskin, Heather J.
Abstract:
SenseCam is an effective memoryaid device that can automatically record images and other data from the wearer’s whole day. The main issue is that, while SenseCam produces a sizeable collection of images over the time period, the vast quantity of captured data contains a large percentage of routine events, which are of little interest to review. In this article, the aim is to detect “Significant Events” for the wearers.We use several time series analysis methods such as Detrended Fluctuation Analysis (DFA), Eigenvalue dynamics and Wavelet Correlations to analyse the multiple time series generated by the SenseCam. We show that Detrended Fluctuation Analysis exposes a strong longrange correlation relationship in SenseCam collections. Maximum Overlap Discrete Wavelet Transform (MODWT) was used to calculate equaltime Correlation Matrices over different time scales and then explore the granularity of the largest eigenvalue and changes of the ratio of the sub dominant eigenvalue spectru...
http://doras.dcu.ie/21305/
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Axial symmetry and transverse tracefree tensors in numerical relativity
(2012)
Conboye, Rory P. A.
Axial symmetry and transverse tracefree tensors in numerical relativity
(2012)
Conboye, Rory P. A.
Abstract:
Transverse tracefree (TT) tensors play an important role in the initial conditions of numerical relativity, containing two of the component freedoms. Expressing a TT tensor entirely, by the choice of two scalar potentials, is not a trivial task however. Assuming the added condition of axial symmetry, expressions are given in both spherical and cylindrical coordinates, for TT tensors in flat space. A coordinate relation is then calculated between the scalar potentials of each coordinate system. This is extended to a nonflat space, though only one potential is found. The remaining equations are reduced to form a second order partial differential equation in two of the tensor components. With the axially symmetric flat space tensors, the choice of potentials giving BowenYork conformal curvatures, are derived. A restriction is found for the potentials which ensure an axially symmetric TT tensor, which is regular at the origin, and conditions on the potentials, which give an axially s...
http://hdl.handle.net/10468/527
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Black holes and Boyle’s law — the thermodynamics of the cosmological constant
(2014)
Dolan, Brian P.
Black holes and Boyle’s law — the thermodynamics of the cosmological constant
(2014)
Dolan, Brian P.
Abstract:
When the cosmological constant, Ʌ, is interpreted as a thermodynamic variable in the study of black hole thermodynamics a very rich structure emerges. It is natural to interpret Ʌ as a pressure and define the thermo dynamically conjugate variable to be the thermodynamic volume of the black hole (which need not bear any relation to the geometric volume). Recent progress in this new direction for black hole thermodynamics is reviewed.
http://mural.maynoothuniversity.ie/5930/
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Bose condensation and branes
(2014)
Dolan, Brian P.
Bose condensation and branes
(2014)
Dolan, Brian P.
Abstract:
When the cosmological constant is considered to be a thermodynamical variable in black hole thermodynamics, analogous to a pressure, its conjugate variable can be thought of as a thermodynamic volume for the black hole. In the AdS/CFT correspondence this interpretation cannot be applied to the CFT on the boundary but, from the point of view of the boundary SU(N) gauge theory, varying the cosmological constant in the bulk is equivalent to varying the number of colors in the gauge theory. This interpretation is examined in the case of AdS5 × S5, for N = 4 SUSY YangMills at large N, and the variable thermodynamically conjugate to N, a chemical potential for color, is determined. It is shown that the chemical potential in the high temperature phase of the YangMills theory is negative and decreases as temperature increases, as expected. For spherical black holes in the bulk the chemical potential approaches zero as the temperature is lowered below the HawkingPage temperature and chang...
http://mural.maynoothuniversity.ie/5811/
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Bottomonium above Deconfinement in Lattice Nonrelativistic QCD
(2011)
Aarts, Gert; Kim, S.; Lombardo, M. P.; Oktay, M. B.; Ryan, S. M.; Sinclair, D. K.; Skul...
Bottomonium above Deconfinement in Lattice Nonrelativistic QCD
(2011)
Aarts, Gert; Kim, S.; Lombardo, M. P.; Oktay, M. B.; Ryan, S. M.; Sinclair, D. K.; Skullerud, JonIvar
Abstract:
We study the temperature dependence of bottomonium for temperatures in the range 0:4Tc <T <2:1Tc, using nonrelativistic dynamics for the bottom quark and full relativistic lattice QCD simulations for Nf = 2 light flavors on a highly anisotropic lattice. We find that the У is insensitive to the temperature in this range, while the Xb propagators show a crossover from the exponential decay characterizing the hadronic phase to a powerlaw behavior consistent with nearly free dynamics at T ≈ 2Tc.
http://mural.maynoothuniversity.ie/2604/
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Bottomonium from lattice QCD as a probe of the QuarkGluon Plasma
(2013)
Aarts, Gert; Allton, Chris; Kelly, A.; Skullerud, JonIvar; Kim, S.; Harris, T.; Ryan, ...
Bottomonium from lattice QCD as a probe of the QuarkGluon Plasma
(2013)
Aarts, Gert; Allton, Chris; Kelly, A.; Skullerud, JonIvar; Kim, S.; Harris, T.; Ryan, S. M.; Lombardo, M. P.; Oktay, M. B.; Sinclair, D. K.
Abstract:
We study the temperature dependence of bottomonium for temperatures in the range 0.4Tc < T < 2.1Tc, using nonrelativistic dynamics for the bottom quark and full relativistic lattice QCD simulations for Nf = 2 light flavors. We consider the behaviour of the correlators in Euclidean space, we analyze the associated spectral functions and we study the dependence on the momentum. Our results are amenable to a successful comparison with effective field theories. They help build a coherent picture of the behaviour of bottomonium in the plasma, consistent which the current LHC results.
http://mural.maynoothuniversity.ie/4538/
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Bottomonium in the plasma : Lattice results
(2014)
Aarts, Gert; Allton, Chris; Evans, Wynne; Giudice, Pietro; Harris, Tim; Kelly, Aoife; K...
Bottomonium in the plasma : Lattice results
(2014)
Aarts, Gert; Allton, Chris; Evans, Wynne; Giudice, Pietro; Harris, Tim; Kelly, Aoife; Kim, Seyong; Lombardo, Maria Paola; Ryan, Sinead; Skullerud, JonIvar
Abstract:
We present results on the heavy quarkonium spectrum and spectral functions obtained by performing largescale simulations of QCD for temperatures ranging from about 100 to 500 MeV, in the same range as those explored by LHC experiments. We discuss our method and perspectives for further improvements towards the goal of full control over the many systematic uncertainties of these studies.
http://mural.maynoothuniversity.ie/6285/
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Bottomonium spectrum at finite temperature
(2013)
Harris, Tim; Ryan, Sinead M; Aarts, Gert; Allton, Chris; Kim, Seyong; Lombardo, Maria P...
Bottomonium spectrum at finite temperature
(2013)
Harris, Tim; Ryan, Sinead M; Aarts, Gert; Allton, Chris; Kim, Seyong; Lombardo, Maria Paola; Skullerud, JonIvar
Abstract:
We investigate the modification of S and P wave states in the bottomonium spectrum above and below the deconfinement crossover temperature through their spectral functions obtained from the maximum entropy method. Anisotropic ensembles with Nf = 2+1 Wilson clover fermions with tadpole improvement are used while the bottom quark is treated with an improved nonrelativistic action. We observe significant modifications of the P wave cb1 ground state directly above the crossover temperature, Tc, while the S wave ¡ ground state remains relatively unchanged up to temperatures of almost 2Tc. This evidence supports earlier conclusions from our FASTSUM collaboration of the immediate dissociation of the P wave states above Tc and the survival of the S wave ground states up to 2Tc.
http://mural.maynoothuniversity.ie/6287/
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Central Charge and Quasihole Scaling Dimensions From Model Wavefunctions: Towards Relating Jack Wavefunctions to Walgebras
(2009)
Bernevig, B. Andrei; Gurarie, Victor; Simon, Steven H.
Central Charge and Quasihole Scaling Dimensions From Model Wavefunctions: Towards Relating Jack Wavefunctions to Walgebras
(2009)
Bernevig, B. Andrei; Gurarie, Victor; Simon, Steven H.
Abstract:
We present a general method to obtain the central charge and quasihole scaling dimension directly from groundstate and quasihole wavefunctions. Our method applies to wavefunctions satisfying specific clustering properties. We then use our method to examine the relation between Jack symmetric functions and certain Walgebras. We add substantially to the evidence that the (k, r) admissible Jack functions correspond to correlators of the conformal field theory Wk(k+1, k+r), by calculating the central charge and scaling dimensions of some of the fields in both cases and showing that they match. For the Jacks described by unitary Wmodels, the central charge and quasihole exponents match the ones previously obtained from analyzing the physics of the edge excitations. For the Jacks described by nonunitary Wmodels the central charge and quasihole scaling dimensions obtained from the wavefunctions differ from the ones obtained from the edge physics, which instead agree with the “effective...
http://mural.maynoothuniversity.ie/2693/
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Charged scalar fields and superconductivity in AdS4/CFT3.
(2010)
Fox, Andrew
Charged scalar fields and superconductivity in AdS4/CFT3.
(2010)
Fox, Andrew
Abstract:
In this thesis I shall examine the energy behaviour of a massive charged scalar field in an Anti deSitterReissnerNordström spacetime background using the AdS/CFT correspondence. After obtaining the equations of motion for the system I numerically solve for the vacuum expectation values of the energy momentum tensor of the field on an AdS4 background. It will be shown that the vev condenses as the temperature of the black hole is lowered, suggesting superconductivity. I then add a time dependent part to the scalar field and examine how it behaves on the AdS4 boundary with respect to a varying frequency and momentum. The boundary field shows evidence of the emergence of quasiparticle pairs at large momentum. The relevant Greens functions are then calculated numerically and presented as a sequence of surface and contour plots. From these we are able to determine the dispersion relations for the field. I shall also find pseudoparticle masses at zero momentum, and consequently see t...
http://mural.maynoothuniversity.ie/2680/
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Charmonium at high temperature in twoflavor QCD
(2007)
Aarts, Gert; Allton, Chris; Oktay, Mehmet Buğrahan; Peardon, Mike; Skullerud, JonIvar
Charmonium at high temperature in twoflavor QCD
(2007)
Aarts, Gert; Allton, Chris; Oktay, Mehmet Buğrahan; Peardon, Mike; Skullerud, JonIvar
Abstract:
We compute charmonium spectral functions in 2flavor QCD on anisotropic lattices using the maximum entropy method. Our results suggest that the Swaves (Jψ and nc) survive up to temperatures close to 2Tc, while the Pwaves (χc0 and χc1) melt away below 1:2Tc.
http://mural.maynoothuniversity.ie/2613/
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Charmonium Potentials at Finite Temperature
(2012)
Allton, Chris; Evans, Wynne; Skullerud, JonIvar
Charmonium Potentials at Finite Temperature
(2012)
Allton, Chris; Evans, Wynne; Skullerud, JonIvar
Abstract:
The charmonium states at nonzero temperature are studied on anisotropic lattices with 2 dynamical quark flavours. Nonlocal operators are used to determine the NambuBetheSalpeter (NBS) wavefunctions via both conventional fitting methods and the Maximum Entropy Method. The interquark potential is determined from the solution of the Schrodinger equation, given the NBS wavefunction as input following the HAL QCD method. We observe a temperature dependent potential which becomes steeper as the temperature decreases.
http://mural.maynoothuniversity.ie/4533/
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Charmonium Potentials at NonZero Temperature
(2013)
Evans, P. Wynne M.; Allton, Chris; Guidice, Pietro; Skullerud, JonIvar
Charmonium Potentials at NonZero Temperature
(2013)
Evans, P. Wynne M.; Allton, Chris; Guidice, Pietro; Skullerud, JonIvar
Abstract:
The charmonium potential at nonzero temperature has been studied using gauge configurations with anisotropic lattices and 2+1 dynamical flavors of light sea quarks. We use the HAL QCD timedependent method developed for the study of nucleonnucleon potentials. To serve as input, localextended charmonium correlators were calculated. The results are consistent with the expectation that the potential between heavy quarks should become deconfining at high temperatures.
http://mural.maynoothuniversity.ie/4535/
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Chiral fermions and torsion in the early Universe
(2010)
Dolan, Brian P.
Chiral fermions and torsion in the early Universe
(2010)
Dolan, Brian P.
Abstract:
Torsion arising from fermionic matter in the EinsteinCartan formulation of general relativity is considered in the context of RobertsonWalker geometries and the early Universe. An ambiguity in the way torsion arising from hot fermionic matter in chiral models should be implemented is highlighted and discussed. In one interpretation, chemical potentials in chiral models can contribute to the Fkiedmann equation and give a negative contribution to the energy density.
http://mural.maynoothuniversity.ie/2458/
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Classical and quantum chaos in a nonlinearly kicked harmonic oscillator
(1994)
Daly, Mark V.
Classical and quantum chaos in a nonlinearly kicked harmonic oscillator
(1994)
Daly, Mark V.
Abstract:
The work described m this thesis is based on a detailed analysis of the classical and quantum non linear dynamics of a kicked oscillator. This system belongs to a class of kicked physical systems (time dependent Hamiltonians) whose dynamics have universal properties. We begin the analysis by considering the classical mapping (recursive relationship) derived from the parent system equations. The analysis covers the system ’s phase space and its evolution as parameters are changed. The detailed orbit structure is obtained and the breakup of this orbit structure in the phase space, influenced by presence of periodic orbits, is examined thoroughly. We also show the existence of two types of orbital diffusion (normal diffusion and a resonance enhanced diffusion). The results from this classical analysis are then compared with the quantum mapping. The complexity of this quantum mapping is considerable but, with some necessaxy numerical considerations, we have used it to generate the time...
http://doras.dcu.ie/18470/
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Clebsch–Gordan and 6 j coefficients for rank 2 quantum groups
(2010)
Ardonne, Eddy; Slingerland, Joost
Clebsch–Gordan and 6 j coefficients for rank 2 quantum groups
(2010)
Ardonne, Eddy; Slingerland, Joost
Abstract:
We calculate ( q deformed) Clebsch–Gordan and 6 j coefficients for rank 2 quantum groups. We explain in detail how such calculations are done, which should allow the reader to perform similar calculations in other cases. Moreover, we tabulate the q Clebsch–Gordan and 6 j coefficients explicitly, as well as some other topological data associated with theories corresponding to rank 2 quantum groups. Finally, we collect some useful properties of the fusion rules of particular conformal field theories.
http://mural.maynoothuniversity.ie/4799/
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Compressibility of rotating black holes
(2011)
Dolan, Brian P.
Compressibility of rotating black holes
(2011)
Dolan, Brian P.
Abstract:
Interpreting the cosmological constant as a pressure, whose thermodynamically conjugate variable is a volume, modifies the first law of black hole thermodynamics. Properties of the resulting thermodynamic volume are investigated: the compressibility and the speed of sound of the black hole are derived in the case of nonpositive cosmological constant. The adiabatic compressibility vanishes for a nonrotating black hole and is maximal in the extremal case—comparable with, but still less than, that of a cold neutron star. A speed of sound vs is associated with the adiabatic compressibility, which is equal to c for a nonrotating black hole and decreases as the angular momentum is increased. An extremal black hole has v2s=0.9 c2 when the cosmological constant vanishes, and more generally vs is bounded below by c/√2.
http://mural.maynoothuniversity.ie/3031/
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