Browsing Pure & Applied Mathematics by Title
Now showing items 41-60 of 390
-
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, ... -
Canonical quantization of the degenerate WZ action including chiral interaction with gauge fields
(World Scientific, 1996)Canonical quantization of the Wess-Zumino (WZ) model including chiral interaction with gauge field is considered for the case of a degenerate action. The two-dimensional SU(2) Yang-Mills model and the four-dimensional ... -
THE CATLIN MULTITYPE OF SUMS OF SQUARES DOMAINS
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2021)Given a sum of squares domain of finite D' -
A Cauchy-Kowalevsky theorem for overdetermined systems of nonlinear partial differential equations and geometric applications.
(Taylor & Francis, 2009)The main motivation for the work presented in this paper is to construct real hypersurfaces in Cn+1 with maximal Levi number (see below for the definition), a problem that has been open since Levi numbers were introduced ... -
The centre of the graph and moduli algebras at roots of 1
(Springer Verlag, 1999)The structure of the centres Z(Lg) and Z(Mg) of the graph algebra Lg(sl2) and the moduli algebraMg(sl2) is studied at roots of 1. It it shown that Z(Lg) can be endowed with the structure of the Poisson graph algebra. The ... -
The centroid of a JB*-triple system
(Institut for Matematiske Fag, Aarhus Universitet, 1988)No abstract available. -
CFTs on Riemann surfaces of genus g ≥ 1
(Trinity College (Dublin, Ireland). School of Mathematics, 2014)The purpose of this thesis is to argue that N-point functions of holomorphic fields in rational conformal field theories can be calculated by methods from algebraic geometry. We establish explicit formulae for the 2-point ... -
Characters, coadjoint orbits and Duistermaat-Heckman integrals
(2021)The asymptotics of characters of irreducible representations of a compact Lie group G for large values of the scaling factor k are given by Duistermaat-Heckman (DH) integrals over coadjoint orbits of G. This phenomenon ... -
Charmed tetraquarks from lattice QCD
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2018) -
Charmonium at high temperature in two-flavor QCD
(American Physical Society, 2007)We compute charmonium spectral functions in 2-flavor QCD on anisotropic lattices using the maximum entropy method. Our results suggest that the S-waves (J= and c) survive up to temperatures close to 2Tc, while the P-waves ... -
Charmonium properties in the quark-gluon plasma
(2007)We present results for charmonium correlators and spectral functions in 2-flavour QCD on anisotropic lattices. Our results indicate that the S-waves (J/y and hc) survive up to temperatures close to 2Tc, while the P-waves ... -
Charmonium spectral functions in Nf=2 QCD
(Proceedings of Science, 2005)We report on a study of charmonium at high temperature in 2-flavour QCD. This is the first such study with dynamical fermions. Using an improved anisotropic lattice action, spectral functions are extracted from correlators ... -
Charmonium spectroscopy from an anisotropic lattice study
(2011)We present a progress report on our study of the charmonium spectrum in full QCD on anisotropic lattices generated by the Hadron Spectrum Collaboration. We adopt a large basis of interpolating operators to extract the ... -
Charmonium spectroscopy on dynamical anisotropic lattices
(Elsevier, 2006)We present a first study of the charmonium spectrum on Nf = 2 dynamical, anisotropic lattices. We take advantage of all-to-all quark propagators to build spatially extended interpolating operators to increase the overlap ... -
The chirally rotated Schrodinger functional with Wilson fermions and automatic O(a) improvement
(2011)A modified formulation of the Schrodinger functional (SF) is proposed. In the continuum it is related to the standard SF by a non-singlet chiral field rotation and therefore referred to as the chirally rotated SF (?SF). ... -
The chirally rotated Schrödinger functional: theoretical expectations and perturbative tests
(2016)The chirally rotated Schrödinger functional (χSF) with massless Wilson-type fermions provides an alternative lattice regularization of the Schrödinger functional (SF), with different lattice symmetries and a common continuum ... -
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 ...