Softly Broken N=2 QCD with Massive Quark Hypermultiplets, II

TL;DR

This paper investigates the vacuum structure and phase transitions of softly broken N=2 SU(2) QCD with massive quark hypermultiplets, providing detailed numerical analysis and pion effective theory results.

Contribution

It offers a comprehensive analysis of the phase structure and chiral symmetry breaking in softly broken N=2 QCD with massive quarks, including explicit formulas for low energy couplings and pion properties.

Findings

Identification of multiple first order phase transitions.

Explicit expressions for pion masses and decay constants.

Rich vacuum structure depending on quark masses and supersymmetry breaking parameters.

Abstract

We analyze the vacuum structure of N=2, SU(2) QCD with massive quark hypermultiplets, once supersymmetry is softly broken down to N=0 with dilaton and mass spurions. We give general expressions for the low energy couplings of the effective potential in terms of elliptic functions to have a complete numerical control of the model. We study in detail the possible phases of the theories with Nf = 1, 2 flavors for different values of the bare quark masses and the supersymmetry breaking parameters and we find a rich structure of first order phase transitions. The chiral symmetry breaking pattern of the Nf = 2 theory is considered, and we obtain the pion Lagrangian for this model up to two derivatives. Exact expressions are given for the pion masses and the pion decay constant in terms of the magnetic monopole description of chiral symmetry breaking.