Browsing Pure & Applied Mathematics by Title
Now showing items 57-76 of 390
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Coarse lattice results for glueballs and hybrids
(Elsevier, 1998)A review of new results from lattice simulations of glueballs and heavy-quark hybrid mesons is presented. -
Coherent states and classical radiative observables in the S-matrix formalism
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2022)In this thesis, we study classical radiative observables perturbatively in terms of on-shell scattering amplitudes. In particular, we focus primarily on the two-body problem in gauge and gravitational theories by using an ... -
A comment on "A fast L_p spike alignment metric" by A. J. Dubbs, B. A. Seiler and M. O. Magnasco [arXiv:0907.3137]
(2009)Measuring the transmitted information in metric-based clustering has become something of a standard test for the performance of a spike train metric. In this comment, the recently proposed L_p Victor-Purpura metric is used ... -
Comments on the mirror TBA
(2011)We discuss various aspects of excited state TBA equations describing the energy spectrum of the AdS5 ? S5 strings and, via the AdS/CFT correspondence, the spectrum of scaling dimensions of N=4 SYM local operators. We observe ... -
Comparing the excitations of the periodic flux tube with effective string models.
(Trinity College (Dublin, Ireland). School of Mathematics, 2005)The spectrum of a periodic flux tube in pure SU(3) Yang-Mills theory is evaluated non-perturbatively through computations on the lattice in the region from intermediate to long distances (1.5 < L < 4 fm ). For these flux ... -
Completely bounded mappings and simplicial complex structure in the primitive ideal space of a C*-algebra
(American Mathematical Society, 2009)We consider the natural contraction from the central Haagerup tensor product of a C*-algebra A with itself to the space of completely bounded maps CB(A) on A and investigate those A where there exists an inverse map ... -
Complexity of Holographic Flavours and causality in QFTs with Gauss-Bonnet dual
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2019)This thesis is the compilation of two different projects undertaken during my PhD programme. Chapter 2 covers the work on quantum complexity. Quantum complexity of a thermofield double state in a strongly coupled quantum ... -
Computational and mathematical aspects of Feynman integrals
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2021)This thesis covers a number of different research projects which are all connected to the central topic of computing Feynman integrals efficiently through analytic methods. Improvements in our ability to evaluate Feynman ... -
Computing the norms of elementary operators
(University of Illinois Press, 2003)We provide a direct proof that the Haagerup estimate on the completely bounded norm of elementary operators is best possible in the case of B(H) via a generalisation of a theorem of Stamp i. We show that for an elementary ... -
Conformal anomaly of (2,0) tensor multiplet in six dimensions and AdS/CFT correspondence
(Institute of Physics, 2000)We compute the conformal anomaly in the free d = 6 superconformal (2,0) tensor multiplet theory on generic curved background. Up to a trivial covariant totalderivative term, it is given by the sum of the type A part ... -
Conformal Bootstrap and Black Holes in AdS/CFT
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2022)In this thesis, we explore applications of the conformal bootstrap to holographic CFTs that are dual to theories of gravity in asymptotically Anti-de Sitter spacetimes. In particular, we consider correlation functions with ... -
Conformal bootstrap and thermalization in holographic CFTs
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2021)This thesis covers a number of topics in conformal field theories that are supposed to have gravity duals according to the AdS/CFT correspondence. We use the conformal bootstrap in the Regge and lightcone limits as the ... -
The Coulomb branch formula for quiver moduli spaces
(2017)In recent series of works, by translating properties of multi-cent ered supersymmetric black holes into the language of quiver representations, we proposed a f ormula that expresses the Hodge numbers of the moduli space ... -
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 ... -
CR Singularities in condimension 2
(Trinity College (Dublin, Ireland). School of Mathematics, 2013)In this thesis we study the real submanifolds of codimension 2 in a complex manifold near a CR singularity. The thesis has 3 chapters. In Chapter 1 we shall make a small introduction where we will remind some basic notions ... -
Cₒ(X)-structure in C*-algebras, multiplier algebras and tensor products
(Trinity College (Dublin, Ireland). School of Mathematics, 2015)We begin in Chapter 2 with an introduction to the various notions of a bundle of C*-algebras that have appeared throughout the literature, and clarify the definitions of upper- and lower-semicontinuous C*-bundles not ...