Browsing Pure & Applied Mathematics by Title
Now showing items 201-220 of 390
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Matrix models, quantum gravity and the spectral dimension
(Proceedings of Science, 2005)Monte Carlo studies on non-perturbative 2D Euclidean Quantum Gravity can be done with the use of the Dynamical Triangulations method. The Monte Carlo moves defined within the dynamical triangulation method can be encompassed ... -
Measuring the aspect ratio renormalization of anisotropic-lattice gluons
(American Physical Society, 2001)Using tadpole-improved actions we investigate the consistency between different methods of measuring the aspect ratio renormalization of anisotropic-lattice gluons for bare aspect ratios x054,6,10 and inverse lattice spacing ... -
Melting of P wave bottomonium states in the quark-gluon plasma from lattice NRQCD
(2013)We study the fate of P wave bottomonium states in the quark-gluon plasma, using a spectral function analysis of euclidean lattice cor relators. The correlators are obtained from lattice QCD simulations with two ... -
Mesons at high temperature in Nf = 2 QCD
(American Physical Society, 2006)We report first results for spectral functions of charmonium in 2-flavour QCD. The spectral functions are determined from vector and pseudoscalar correlators on a dynamical, anisotropic lattice. J/ and c are found ... -
Methods for calculating option prices with early-exercise features
(Trinity College (Dublin, Ireland). School of Mathematics, 2006)In this dissertation we deal with two distinct methods for pricing financial options with early-exercise features. First we use finite difference methods to calculate the prices, examining in particular two new schemes ... -
Methods of ascent and descent in multivariable spectral theory
(Trinity College (Dublin, Ireland). School of Mathematics, 2009)In this dissertation the theory of ascent and descent for a linear operator acting on a vector space is extended to arbitrary sets of operators and applied to the study of joint spectra for finite commuting systems of bounded ... -
A metric space approach to the information capacity of spike trains
(2010)Classical information theory can be either discrete or continuous, corresponding to discrete or continuous random variables. However, although spike times in a spike train are described by continuous variables, the ... -
Modern aspects of topological gauge theories - Polynomial invariants and mock modular forms
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2019)In this dissertation we present new results in the field of topologically twisted gauge theories evaluated on compact four-manifolds without boundary. We focus on the Donaldson-Witten theory, that is the N = 2 topologically ... -
Modularity in Supersymmetric Gauge Theory
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2022)In this thesis, we study the modularity and duality of Coulomb branches for a class of four-dimensional N=2 supersymmetric gauge theories. For pure N=2 super Yang-Mills theory with gauge group SU(2), the Coulomb branch can ... -
Multi-hadron operators with all-to-all quark propagators
(2008)Hadron spectroscopy on dynamical configurations are faced with the difficulties of dealing with the mixing of single particle states and multi-hadron states (for large spatial volumes and light dynamical quarksmasses). ... -
Multi-spin string solutions in AdS(5) x S**5
(Elsevier, 2003)Motivated by attempts to extend AdS/CFT duality to non-BPS states we consider classical closed string solutions with several angular momenta in different directions of AdS5 and S5. We find a novel solution describing a ... -
Multicloud solutions with massless and massive monopoles.
(American Physical Society, 2002)Certain spontaneously broken gauge theories contain massless magnetic monopoles. These are realized classically as clouds of non-Abelian fields surrounding one or more massive monopoles. In order to gain a better understanding ... -
Multidimensional second order generalised stochastic processes on locally compact Abelian groups
(Trinity College (Dublin, Ireland). School of Mathematics, 2004)This thesis is concerned with the harmonic analysis of multidimensional generalised stochastic processes on locally compact Abelian groups. A multidimensional generalised stochastic process is a continuous linear operator ... -
Multiple D3-instantons and mock modular forms II
(2017)We analyze the modular properties of D3-brane instanton correct ions to the hy- permultiplet moduli space in type IIB string theory compactified on a Calabi-Yau threefold. In Part I, we found a necessary condition for ... -
Multiple molecular dynamics time-scales in Hybrid Monte Carlo fermion simulations
(Elsevier, 2003)A scheme for separating the high- and low-frequency molecular dynamics modes in Hybrid Monte Carlo (HMC) simulations of gauge theories with dynamical fermions is presented. The algorithm is tested in the Schwinger model ... -
Nahm data and the mass of 1/4-BPS states
(American Physical Society, 2000)The mass of 1 / 4-BPS dyonic configurations in N=4 D=4 supersymmetric Yang-Mills theories is calculated within the Nahm formulation. The SU(3) example, with two massive monopoles and one massless monopole, is considered ... -
New hyper-Kaehler manifolds by fixing monopoles
(American Physical Society, 1997)The construction of new hyper-Ka?hler manifolds by taking the infinite monopole mass limit of certain Bogomol?nyi-Prasad-Sommerfield monopole moduli spaces is considered. The one-parameter family of hyper- Ka?hler manifolds ... -
New integrable system of 2dim fermions from strings on AdS(5) x S**5.
(Institute of Physics, 2006)We consider classical superstrings propagating on AdS5 ? S5 space-time. We consistently truncate the superstring equations of motion to the so-called fraktur sfraktur u(1|1) sector. By fixing the uniform gauge we show that ...
