# Anti-Ferromagnetic Condensate in Yang-Mills Theory

## TL;DR

This paper explores the phase structure of SU(2) gauge theory, revealing anti-ferromagnetic vacua and suggesting multiple continuum limits for QCD, which could impact understanding of strong interactions.

## Contribution

It demonstrates the existence of anti-ferromagnetic phases in SU(2) gauge theory and discusses their implications for continuum QCD theories.

## Key findings

- Presence of anti-ferromagnetic vacua in SU(2) gauge theory
- Persistence of phase boundaries in weak coupling limit
- Implication of multiple continuum theories for QCD

## Abstract

SU(2) gauge theory with competing interactions is shown to possess a rich phase structure with anti-ferromagnetic vacua. It is argued that the phase boundaries persist in the weak coupling limit suggesting the existence of different renormalized continuum theories for QCD.