# Finite Temperature QCD with Wilson Quarks: A Study with a Renormalization Group Improved Gauge Action

## TL;DR

This study investigates finite temperature phase transitions in lattice QCD with Wilson quarks using a renormalization group improved gauge action, revealing a smooth transition for two flavors and a first-order transition for three flavors.

## Contribution

It provides new insights into the nature of chiral phase transitions in lattice QCD with Wilson quarks at finite temperature, including scaling behavior and order of transition.

## Key findings

- Smooth chiral transition for N_F=2
- First-order transition for N_F=3
- Chiral condensate follows O(4) scaling

## Abstract

Finite temperature transition in lattice QCD with degenerate Wilson quarks is investigated on an $N_t=4$ lattice, using a renormalization group improved gauge action. We find the following for the $N_F=2$ case: 1) The transition is smooth for a wide range of the quark mass. 2) The chiral transition is continuous. 3) The chiral condensation well satisfies a scaling relation with the critical exponents of the 3 dimensional $O(4)$ spin model. For $N_F=3$, we find that the chiral transition is of first order.

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Source: https://tomesphere.com/paper/hep-lat/9510005