Magnetic and chiral universality classes in a 3D Yukawa model

TL;DR

This study investigates the critical behavior of a 3D Yukawa model with U(1) chiral symmetry, revealing dominance of the chiral universality class and a crossover at weak coupling.

Contribution

It provides the first detailed measurement of critical exponents for both magnetic and chiral universality classes in this model, highlighting the crossover phenomenon.

Findings

Model is dominated by the chiral universality class.

Crossover between magnetic and chiral classes at weak coupling.

Binder method faces difficulties during crossover detection.

Abstract

The 3D Yukawa model with U(1) chiral symmetry is investigated in a broad interval of parameters using the Binder method. Critical exponents of the Wilson-Fisher (magnetic) and Gross-Neveu (chiral) universality classes are measured. The model is dominated by the chiral universality class. However at weak coupling we observe a crossover between both classes, manifested by difficulties with the Binder method which otherwise works well.