Large N QCD -- Continuum reduction

TL;DR

The paper discusses continuum reduction in large N QCD, showing that finite volume effects vanish above a critical size, enabling efficient numerical solutions using chiral fermions on current computers.

Contribution

It provides numerical evidence supporting continuum reduction in large N QCD and highlights its potential for practical computations with chiral fermions.

Findings

Finite volume effects disappear above a critical size in large N QCD.

Continuum reduction allows for numerical studies using current computational resources.

Fermions in the fundamental representation are effectively quenched in the large N limit.

Abstract

Numerical evidence combined with Eguchi-Kawai reduction indicate that there are no finite volumes effects in the large N limit of QCD as long as the linear extent of the four-torus is bigger than a critical size. This is referred to as continuum reduction. Since fermions in the fundamental representation are naturally quenched in the large N limit, as long as we only have a finite number of flavors, continuum reduction provides us with the exciting possibility to numerically solve large N QCD using chiral fermions and present day computers.