Locating Quark-Antiquark String Breaking in QCD through Chiral Symmetry Restoration and Hawking-Unruh Effect

TL;DR

This paper explores how chiral symmetry restoration and the Unruh effect relate to quark-antiquark string breaking in QCD, providing critical distances, accelerations, and temperatures that align with previous findings.

Contribution

It introduces a novel connection between the Unruh effect and string breaking in QCD, analyzing critical parameters using the Schwinger model.

Findings

Critical string breaking distance: 1.294 fm

Critical acceleration: 1.14×10^{34} cm/s^2

Critical Unruh temperature: 0.038 GeV

Abstract

The relationship between QCD and the string model offers a valuable perspective for exploring the interaction potential between quarks. In this study, we investigate the restoration of chiral symmetry in connection with the Unruh effect experienced by accelerating observers. Utilizing the Schwinger model, we analyze the critical point at which the string or chromoelectric flux tube between quark-antiquarks breaks with increasing separation between quarks. In this study, the critical distance for quark-antiquark chromoelectric flux tube or string breaking is determined to be $r_c=1.294\pm0.040$ fm. The acceleration and Unruh temperature corresponding to this critical point signify the transition of the system's chiral symmetry from a broken to a restored state. Our estimates for the critical acceleration ($a_c=1.14\times 10^{34}$ cm/s$^{2}$) and Unruh temperature ($T_c=0.038$ GeV) align with previous studies. This analysis illuminates the interplay between chiral symmetry restoration, the Unruh effect, and the breaking of the string or chromoelectric flux tube within the context of quark interactions.