Fisher zeros and RG flows for $SU(3)$ with $N_f$ flavors

TL;DR

This paper investigates Fisher zeros and renormalization group flows in SU(3) gauge theories with varying flavors and fermion masses, exploring phase transitions and their implications for composite Higgs models.

Contribution

It provides new calculations of Fisher zeros for SU(3) with different N_f flavors and analyzes their finite-size scaling and RG flow interpretations.

Findings

Identification of Fisher zeros near phase transition points

Analysis of finite-size scaling behavior

Insights into RG flow structures relevant to composite Higgs models

Abstract

We calculate the Fisher zeros for $SU(3)$ gauge theory with different $N_f$ flavors of staggered fermions for various values of the fermion mass. We discuss the finite-size scaling near the end point of the line of discontinuity of $\bar{\psi} \psi$ in the beta-mass plane and in the larger beta-lower mass region. We discuss possible interpretations of these results in terms of Wilsonian RG flows and their possible relevance to construct composite Higgs models.