Joe Kiskis

Quark Spectra, Topology, and Random Matrix Theory

Quark spectra in QCD are linked to fundamental properties of the theory including the identification of pions as the Goldstone bosons of spontaneously broken chiral symmetry. The lattice overlap Dirac operator provides a nonperturbative, ultraviolet-regularized description of quarks with the correct chiral symmetry. Properties of the spectrum of this operator and their relation to random matrix theory are studied here. In particular, the predictions from chiral random matrix theory in topologically nontrivial gauge field sectors are tested for the first time. {copyright} {ital 1999} {ital The American Physical Society}

Proposal for the numerical solution of planar QCD

Using quenched reduction, we propose a method for the numerical calculation of meson correlation functions in the planar limit of QCD. General features of the approach are outlined, and an example is given in the context of two-dimensional QCD.

Strongly interacting dynamics and the search for new physics at the LHC

We present results for the spectrum of a strongly interacting SU(3) gauge theory with Nf = 8 light fermions in the fundamental representation. Carrying out nonperturbative lattice calculations at the lightest masses and largest volumes considered to date, we confirm the existence of a remarkably light singlet scalar particle. We explore the rich resonance spectrum of the 8-flavor theory in the context of the search for new physics beyond the standard model at the Large Hadron Collider (LHC). Lastly, connecting our results to models of dynamical electroweak symmetry breaking, we estimate the vector resonance mass to be about 2 TeV with a width of roughly 450 GeV, and predict additional resonances with masses below ~3 TeV.

Chiral condensate in the deconfined phase of quenched gauge theories

The authors compute the low lying spectrum of the overlap Dirac operator in the deconfined phase of finite-temperature quenched gauge theory. It suggests the existence of a chiral condensate which they confirm with a direct stochastic estimate. They show that the part of the spectrum responsible for the chiral condensate can be understood as arising from a dilute gas of instantons and anti-instantons.

Computation of the string tension in four-dimensional Yang–Mills theory using large N reduction

Abstract Continuum reduction and Monte Carlo simulation are used to calculate the heavy quark potential and the string tension in large N Yang–Mills theory in four dimensions. The potential is calculated out to a separation of nine lattice units on a lattice with extent six in each direction.

Latent heat of the large N finite temperature phase transition

Reduced large

W W scattering parameters via pseudoscalar phase shifts

N

Computation of the string tension in three dimensional Yang-Mills theory using large N reduction

gauge theories have a phase with unbroken center symmetry and phases in which that symmetry is broken for Polyakov loops in one or more lattice directions. The phase with unbroken symmetry is associated with the zero temperature, infinite volume, infinite

The spatial string tension in the deconfined phase of three-dimensional QCD in the large N limit

N

Quenched divergences in the deconfined phase of SU(2) gauge theory

theory while the phase in which the symmetry is broken in just one lattice direction has been conjectured to be the spatial reduction of the high temperature, infinite volume, infinite