Pure & Applied Mathematics (Scholarly Publications): Recent submissions
Now showing items 21-40 of 319
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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 ... -
Intersection cohomology of moduli spaces of sheaves on surfaces
(2018)We study intersection cohomology of moduli spaces of semist able vector bundles on a complex algebraic surface. Our main result relates inte rsection Poincar ́e polynomials of the moduli spaces to Donaldson-Thomas ... -
Sheaves on P2 and generalised Appell functions
(2017)A closed expression is given for the generating function of ( virtual) Poincaré polynomials of moduli spaces of semi-stable sheaves on the p rojective plane P 2 with arbitrary rank r and Chern classes. This ... -
Indefinite theta series and generalised error functions
(2018)Theta series for lattices with indefinite signature ( n + ,n − ) arise in many areas of mathematics including representation theory and enumerative algebraic geometry. Their mod- ular properties are well understood ... -
Symanzik Improvement of the gradient flow in lattice gauge theories
(2015)We apply the Symanzik improvement progra- mme to the 4 + 1-dimensional local re-formulation of the gradient flow in pure SU ( N ) lattice gauge theories. We show that the classical nature of the flow equation ... -
Flavour symmetry restoration and kaon weak matrix elements in quenched twisted mass QCD
(2007)We simulate two variants of quenched twisted mass QCD (tmQCD), with degenerate Wilson quarks of masses equal to or heavier than half the strange quark mass. We use Ward identities in order to measure the twist angles of ... -
A precise determination of B_K in quenched QCD
(2006)The B K parameter is computed in quenched lattice QCD with Wilson twisted mass fermions. Two variants of tmQCD are used; in both of them the relevant S = 2 four-fermion operator is renormalised multi ... -
Determination of the QCD ? Parameter and the Accuracy of Perturbation Theory at High Energies
(2016)We discuss the determination of the strong coupling α MS ð m Z Þ or, equivalently, the QCD Λ parameter. Its determination requires the use of perturbation theory in α s ð μ Þ in some scheme s and at some ... -
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 ... -
An O(a) modified lattice set-up of the Schrödinger functional in SU(3) gauge theory
(2011)The set-up of the QCD Schrödinger functional (SF) on the lattice with staggered quarks requires an even number of points L/a in the spatial directions, while the Euclidean time extent of the lattice, T/a, must be odd. ... -
Excited and exotic charmonium, D<inf>s</inf> and D meson spectra for two light quark masses from lattice QCD
(2016)We present highly-excited charmonium, D s and D meson spectra from dy- namical lattice QCD calculations with light quarks corresponding to M 240 MeV and compare these to previous results with M ... -
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 ... -
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 ...