Quark Condensates in Non-Supersymmetric MQCD

TL;DR

This paper explores non-supersymmetric embeddings of M-theory 5-branes to model QCD-like theories, revealing quark condensate formation and spontaneous CP violation consistent with QCD phenomenology.

Contribution

It introduces a novel approach using M-theory 5-brane embeddings to study non-supersymmetric QCD-like dynamics and chiral symmetry breaking.

Findings

Quark condensates grow with supersymmetry breaking.

Spontaneous CP violation occurs at certain theta angles.

The model reproduces key features of QCD chiral dynamics.

Abstract

A set of non-supersymmetric minimal area embeddings of an M-theory 5-brane are considered. The field theories on the surface of the 5-brane have the field content of N=2 SQCD with fundamental representation matter fields. By suitable choice of curve parameters the N=2 and N=1 superpartners may be decoupled leaving a semi-classical approximation to QCD with massive quarks. As supersymmetry breaking is introduced a quark condensate grows breaking the low energy $Z_{F}$ flavour symmetry. At $\theta =$ (odd) $\pi$ spontaneous CP violation is observed consistent with that of the QCD chiral lagrangian.