Proposal for the numerical solution of planar QCD

Abstract

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.

Lattice baryons in the1/Nexpansion

“…This is a variation of a problem which has been previously observed (and solved) by several groups simulating large N gauge theories, with N > 10 [36,37]. There the problem is in the update step.…”

“…[36,37]. The maximizing V is given by Eq, 4, which I have already dealt with while generating the fat links for the fermion action.…”

Lattice perturbation theory in noncommutative geometry and parity anomaly in 3d noncommutative QED

“…The anomaly calculation in matrix models has recently attracted attention in the context of large-N gauge theory [56,57] and noncommutative geometry [58,49]. We expect that the calculation method developed in this paper is useful to study various anomalies in noncommutative geometry.…”

Remarks on the discretization of physical momenta in lattice QCD

“…The authors of [2,3,4,5,6,7,8,9] have considered a generalized set of boundary conditions, that here we call θ-boundary conditions (θ-BC), depending upon the choice of a topological 3-vector θ…”