An insight on the Proof of Orientifold Planar Equivalence on the Lattice

TL;DR

This paper provides a lattice-based non-perturbative proof of orientifold planar equivalence between certain gauge theories, facilitating future numerical tests and exploration of 1/N corrections.

Contribution

It introduces a lattice formulation of the ASV proof of orientifold planar equivalence in the strong-coupling and large-mass phase.

Findings

Lattice version of the proof established in the strong-coupling phase

Framework enables numerical simulations to test theoretical predictions

Sets the stage for estimating 1/N corrections in gauge theories

Abstract

In a recent paper, Armoni, Shifman and Veneziano (ASV) gave a formal non-perturbative proof of planar equivalence between the bosonic sectors of SU(N) super Yang-Mills theory and of a gauge theory with a massless quark in the antisymmetric two-indexes representation. In the case of three colors, the latter theory is nothing but one-flavor QCD. Numerical simulations are necessary to test the validity of that proof and to estimate the size of 1/N corrections. As a first step towards numerical simulations, I will give a lattice version of the ASV proof of orientifold planar equivalence in the strong-coupling and large-mass phase.