Ratio of Quark Masses in Duality Theories

TL;DR

This paper investigates the ratios of quark masses in N=2 SU(2) Seiberg-Witten duality theories with two and three flavors, analyzing how large bare mass ratios relate to singularities in the coupling regions.

Contribution

It provides a detailed analysis of how arbitrary large quark mass ratios correspond to singularities in the duality theories for N_f=2 and N_f=3 cases.

Findings

Large bare mass ratios correspond to strong coupling singularities for N_f=2.

Locations of singularities for large mass ratios are identified for N_f=3.

Both strong and weak coupling singularities are characterized for different mass ratios.

Abstract

We consider N=2 SU(2) Seiberg-Witten duality theory for models with N_f=2 and N_f=3 quark flavors. We investigate arbitrary large bare mass ratios between the two or three quarks at the singular points. For N_f=2 we explore large bare mass ratios corresponding to a singularity in the strong coupling region. For N_f=3 we determine the location of both strong and weak coupling singularities that produce specific large bare mass ratios.