# Triggering the QCD phase transition through the Unruh effect: chiral symmetry restoration for uniformly accelerated observers

## TL;DR

This paper investigates how the Unruh effect influences the QCD chiral phase transition, showing that uniform acceleration can restore chiral symmetry at a critical acceleration related to the pion decay constant.

## Contribution

It introduces a novel approach combining the Unruh effect with low-energy QCD models to analyze chiral symmetry restoration for accelerated observers.

## Key findings

- Chiral symmetry is restored at acceleration greater than 4πf_π.
- The Unruh effect induces a thermal-like environment affecting QCD phase transitions.
- Critical acceleration for symmetry restoration is explicitly calculated.

## Abstract

In this work we study the chiral phase transition as observed by an accelerating observer taking into account the Unruh effect. We use Chiral Perturbation Theory at leading order and the large $N$ limit ($N$ being the number of pions) as an effective description of low-energy QCD, and the Thermalization Theorem to compute the relevant partition function for the accelerating observer. As a result, we obtain that chiral symmetry is restored for uniformly accelerated observers with acceleration $a$ larger than the critical value $a_c=4\pi f_\pi$, with $f_\pi$ being the pion decay constant.