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

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.

References in corpus (6)

• The Unruh effect and its applications
• Thermal Hadronization and Hawking-Unruh Radiation in QCD
• Restoration of Dynamically Broken Chiral and Color Symmetries for an Accelerated Observer
• Brout-Englert-Higgs mechanism for accelerating observers
• Chiral Symmetry Restoration for the large-$N$ pion gas
• Spontaneous symmetry breaking and the Unruh effect

Cited by in corpus (6)

• Chiral symmetry breaking in accelerating and rotating frames
• On Aspects of Spontaneous Symmetry Breaking in Rindler and Anti-de Sitter spacetimes for the $O(N)$ Linear Sigma Model
• Wigner distributions in Rindler spacetime and nonvacuum Minkowski states
• Symmetry Restoration and Uniformly Accelerated Observers in Minkowski Spacetime
• Fluid Acceleration in Heavy-Ion Collisions
• On the Observer Dependence of the Quantum Effective Potential