On Methods for Extracting Exact Non-perturbative Results in Non-supersymmetric Gauge Theories

TL;DR

This paper explores nonperturbative methods to derive exact results in non-supersymmetric gauge theories by leveraging large N orbifold equivalences, predicting phenomena like degeneracies and domain wall tensions that can be tested via simulations.

Contribution

It proposes a nonperturbative parent-orbifold relation that predicts exact large N results in non-supersymmetric gauge theories, extending supersymmetric insights to QCD-like theories.

Findings

Degeneracies among bosonic hadrons predicted

Exact domain wall tension calculations possible

Predictions valid even with broken supersymmetry

Abstract

At large N, a field theory and its orbifolds (given by projecting out some of its fields) share the same planar graphs. If the parent-orbifold relation continues even nonperturbatively, then properties such as confinement and chiral symmetry breaking will appear in both parent and orbifold. N=1 supersymmetric Yang-Mills has many nonsupersymmetric orbifolds which resemble QCD. A nonperturbative parent-orbifold relation predicts many surprising effects, exactly valid at large N, and expected to suffer only mild 1/N corrections. These include degeneracies among bosonic hadrons and exact predictions for domain wall tensions. Other predictions are valid even when supersymmetry in the parent is broken. Since these theories are QCD-like, simulation is possible, so these predictions may be numerically tested. The method also relates wide classes of nonsupersymmetric theories.