School of Mathematics: Recent submissions
Now showing items 101-120 of 390
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Estimate of the hadronic vacuum polarization disconnected contribution to the anomalous magnetic moment of the muon from lattice QCD
(2016)The quark-line disconnected diagram is a potentially important ingredient in lattice QCD calculations of the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon. It is also a notoriously ... -
Coupled-channel DÏ , Dη and D<inf>s</inf>K¯ scattering from lattice QCD
(2016)We present the rst lattice QCD study of coupled-channel D , D and D s K scattering in isospin-1/2 in three partial waves. Using distillation, we compute matrices of correlation functions with bases of ... -
Hadron spectroscopy from lattice quantum chromodynamics
(2016)Lattice calculations of hadron spectroscopy are discussed. A brief introduction to numerical simulations of QCD, with a focus on spectroscopy is given. Results for spectroscopy of low-lying, excited and exotic states ... -
Quark-gluon plasma phenomenology from anisotropic lattice QCD
(2016)The FASTSUM collaboration has been carrying out simulations of N f = 2 + 1 QCD at nonzero temperature in the fixed-scale approach using anisotropic lattices. Here we present the status of these studies, including ... -
Scale invariance of the η-deformed AdS<inf>5</inf>Ã-S5 superstring, T-duality and modified type II equations
(2016)We consider the ABF background underlying the η -deformed AdS 5 × S 5 sigma model. This back- ground fails to satisfy the standard IIB supergravity equations which indicates that the corres ... -
Puzzles of η-deformed AdS<inf>5</inf> Ã- S5
(2015)We derive the part of the Lagrangian for the sigma model on the η -deformed AdS 5 × S 5 space which is quadratic in fermions and has the full dependence on bosons. We then show that there exists a field ... -
Solutions to dilation equations
(Trinity College (Dublin, Ireland). School of Mathematics, 2001)This thesis aims to explore part of the wonderful world of dilation equations. Dilation equations have a convoluted history, having reared their heads in various mathematical fields. One of the early appearances was in the ... -
Fourier analysis, multiresolution analysis and dilation equations
(Trinity College (Dublin, Ireland). School of Mathematics, 1998)This thesis has essentially two parts. The first two chapters are an introduction to the related areas of Fourier analysis, multiresolution analysis and wavelets. Dilation equations arise in the context of multi resolution ... -
Discrete exterior calculus with applications to flows and spinors
(Trinity College (Dublin, Ireland). School of Mathematics, 2005) -
Quantum spectral curve as a tool for a perturbative quantum field theory
(2015)An iterative procedure perturbatively solving the quantum spectral curve of planar N=4N=4 SYM for any operator in the slsl(2) sector is presented. A Mathematica notebook executing this procedure is enclosed. The obtained ... -
Spectroscopy of doubly charmed baryons from lattice QCD
(2015)We present the ground and excited state spectra of doubly charmed baryons from lattice QCD with dynamical quark fields. Calculations are performed on anisotropic lattices of size 163×128, with inverse spacing in temporal ... -
Cacti and filtered distributive laws
(2015)Motivated by the second author’s construction of a classifying space for the group of pure symmetric automorphisms of a free product, we introduce and study a family of topological operads, the operads of based cacti, ... -
Quark-gluon plasma phenomenology from the lattice
(2014)The FASTSUM Collaboration has calculated several quantities relevant for QCD studies at non-zero temperature using the lattice technique. We report here our results for the (i) interquark potential in charmonium; (ii) ... -
The bottomonium spectrum at finite temperature from N f = 2 + 1 lattice QCD
(2014)We present results on the bottomonium spectrum at temperatures above and below the deconfinement crossover temperature, T c , from dynamical lattice QCD simu- lations. The heavy quark is treated with ... -
Quark-Gluon Plasma: From lattice simulations to experimental results
(2014)Theoretical studies of quarkonia can elucidate some of the important properties of the quark–gluon plasma, the state of matter realised when the temperature exceeds O (150) MeV, currently probed by heavy-ion collisions ... -
Bethe/gauge correspondence on curved spaces
(2015)Bethe/gauge correspondence identifies supersymmetric vac ua of massive gauge theories invariant under the two dimensional N = 2 Poincare supersymmetry with the stationary states of some quantum integrable system. The ... -
A Novel quark-field creation operator construction for hadronic physics in lattice QCD
(2009)A new quark-field smearing algorithm is defined which enables efficient calculations of a broad range of hadron correlation functions. The technique applies a low-rank operator to define smooth fields that are to be used ... -
Polynomial Filtered HMC: An Algorithm for lattice QCD with dynamical quarks
(2012)Polynomial approximations to the inverse of the fermion matrix are u sed to filter the dynamics of the upper energy scales in HMC simulations. The use of a multiple time-scale integration sc heme allows the filtered ... -
Highly excited and exotic meson spectrum from dynamical lattice QCD
(2009)Using a new quark-field construction algorithm and a large variational basis of operators, we extract a highly excited isovector meson spectrum on dynamical anisotropic lattices. We show how carefully constructed operators ...