Mass, Confinement and CP Invariance in the Seiberg-Witten Model"

TL;DR

This paper explores the effects of mass and confinement on CP invariance in the Seiberg-Witten model, revealing that the massive confining theory preserves CP symmetry, unlike the massless case where it is spontaneously broken.

Contribution

It provides a detailed analysis of CP invariance in the Seiberg-Witten model with added mass terms, highlighting the conditions under which CP symmetry is preserved or broken.

Findings

Massive confining theory maintains CP invariance.

Massless theory exhibits spontaneous CP symmetry breaking.

Light spectrum analyzed via current algebra relations.

Abstract

Several physics aspects of the Seiberg-Witten solution of N=2 supersymmetric Yang-Mills theory with SU(2) gauge group, supplemented with a small mass term for the "matter" fields which leads to an $N=1$ theory with confinement, are discussed. The light spectrum of the theory is understood on the basis of current algebra relations, and CP invariance of the massless and massive theories is studied. We find that in the massive (confining) theory the low energy physics has an exact CP symmetry, while in a generic vacuum in the massless theory CP invarince is spontaneously broken.