RSS 1.0Pure & Applied Mathematics (Scholarly Publications)
Recent Submissions
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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 ... -
TT deformations of non-relativistic models
(2021)The light-cone gauge approach to TT¯¯¯¯ deformed models is used to derive the TT¯¯¯¯ deformed matrix nonlinear Schrödinger equation, the Landau-Lifshitz equation, and the Gardner equation. Properties of one-soliton solutions ... -
From positive geometries to a coaction on hypergeometric functions
(2020)It is well known that Feynman integrals in dimensional regularization often evaluate to functions of hypergeometric type. Inspired by a recent proposal for a coaction on one-loop Feynman integrals in dimensional regularization, ... -
A family of compact strictly pseudoconvex hypersurfaces in C^2 without umbilical points
(2018)We prove the following: For ϵ>0, let Dϵ be the bounded strictly pseudoconvex domain in ℂ2 given by (log|z|)2+(log|w|)2<ϵ2. The boundary Mϵ:=∂Dϵ⊂ℂ2 is a compact strictly pseudoconvex CR manifold without umbilical ... -
QCD Coupling from a Nonperturbative Determination of the Three-Flavor ?? Parameter
(2017)We present a lattice determination of the Λ parameter in three-flavor QCD and the strong coupling at the Z pole mass. Computing the nonperturbative running of the coupling in the range from 0.2 to 70 GeV, and using ... -
High precision renormalization of the flavour non-singlet Noether currents in lattice QCD with Wilson quarks
(SpringerOpen, 2019)We determine the non-perturbatively renormalized axial current for O(a) improved lattice QCD with Wilson quarks. Our strategy is based on the chirally rotated Schrödinger functional and can be generalized to other finite ... -
An Anisotropic preconditioning for the Wilson fermion matrix on the lattice
(2010)A preconditioning for the Wilson fermion matrix on the lattice is defined, which is particularly suited to the case when the temporal lattice spacing is much smaller than the spatial one. Details on the implementation of ... -
Phase shift with LapH propagators
(2010)The pion-pion scattering phase shift is computed using LapH propagators. The LapH method for computing quark propagators is used to form two-particle correlation functions with a number of different operators. Excited ... -
A novel method for evaluating correlation functions in lattice hadron spectroscopy
(2010)We describe a new approach for evaluating hadronic correlation functions which combines Laplacian-Heaviside quark smearing with a stochastic estimator of quark propagators. This method utilizes noise ... -
The excited hadron spectrum in lattice QCD using a new variance reduction method
(2010)Progress in calculating the spectrum of excited baryons and mesons in lattice QCD is described. Correlation matrices of sets of spatially-extended hadron operators have been studied and their effectiveness in facilitating ... -
String breaking with 2+1 dynamical fermions using the stochastic LapH-method
(2018)The static potential V(r) between a static quark and a static antiquark separated by a distance r is defined as the energy of the ground state of the system. As a consequence of confinement, the energy between the ... -
String breaking by light and strange quarks in QCD
(Elsevier, 2019)The energy spectrum of a system containing a static quark anti-quark pair is computed for a wide range of source separations using lattice QCD with Nf=2+1 dynamical flavours. By employing a variational method with a basis ... -
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 ...
