About Orientifold Planar Equivalence on the Lattice

TL;DR

This paper discusses the proof of orientifold planar equivalence between super Yang-Mills and QCD with antisymmetric quarks on the lattice, focusing on the strong-coupling and large-mass phase, and questions its validity in the continuum limit.

Contribution

It provides a lattice-based proof of orientifold planar equivalence in the strong-coupling and large-mass phase, highlighting ongoing debates about its continuum limit validity.

Findings

Proof of equivalence in strong-coupling phase

Discussion on continuum limit validity

Lattice approach to orientifold equivalence

Abstract

The orientifold planar equivalence is the equivalence in the large-N limit of the bosonic sectors of the super Yang-Mills and the QCD with a quark in the antisymmetric representation. I give a sketch of the proof of the orientifold planar equivalence in the strong-coupling and large-mass phase on the lattice. It is still matter of discussion, if its validity extends also in the continuum limit.