U(2)xU(2)-symmetric fixed point from the Functional Renormalization Group

TL;DR

This paper confirms the existence of an U(2)xU(2)-symmetric fixed point in the chiral linear sigma model using the Functional Renormalization Group, with implications for the chiral phase transition in two-flavor QCD.

Contribution

It demonstrates the fixed point using FRG and analyzes its stability and implications for QCD phase transitions, providing new insights into the model's critical behavior.

Findings

Confirmed the U(2)xU(2) fixed point with FRG

Analyzed stability properties of the fixed point

Discussed implications for the chiral phase transition

Abstract

The existence of an U(2)xU(2)-symmetric fixed point in the chiral linear sigma model is confirmed using the Functional Renormalization Group (FRG). Its stability properties and the implications for the order of the chiral phase transition of two-flavor quantum chromodynamics (QCD) are discussed. Furthermore, several technical conclusions are drawn from the comparison with the results of resummed loop expansions.