# Scaling of Chiral Order Parameter in Two-Flavor QCD

## TL;DR

This study investigates the finite temperature chiral transition in two-flavor QCD using lattice simulations, demonstrating that the chiral condensate scales according to the O(4) universality class, indicating a second-order transition.

## Contribution

First lattice simulation showing the chiral condensate in two-flavor QCD obeys O(4) scaling near the transition point.

## Key findings

- Chiral condensate follows O(4) scaling laws.
- Transition is of second order in the continuum limit.
- Supports universality class hypothesis for QCD phase transition.

## Abstract

The finite temperature transition of QCD with two degenerate light quarks is studied on the lattice with a renormalization group improved gauge action and the Wilson quark action. We have made simulations on an $8^3\times 4$ lattice near the chiral transition point. It is shown that the chiral condensate which is the order parameter of chiral symmetry satisfies remarkably a scaling relation with the exponents of the three dimensional O(4) Heisenberg model. This indicates that the chiral transition in two-flavor QCD is of second order in the continuum limit.