Work

Lee Yang edge singularities of QCD in association with the Roberge-Weiss and chiral phase transitions

Year: 2025

Type: article

Abstract: We study the quantum chromodynamics (QCD) phase transitions in the complex chemical potential plane via the Dyson-Schwinger equation approach, incorporating a constant gluonic background field that represents the confining dynamics. We solve the quark gap equation and the background field equation self-consistently, which allows us to directly explore the confinement phase transition and furthermore, evaluate the impact of the back-coupling of confinement on chiral symmetry breaking. Moreover, within such a coupled framework toward the complex chemical potential region, we demonstrate the emergence of Roberge-Weiss (RW) symmetry and investigate the trajectory of Lee-Yang edge singularities (LYESs). Our analysis reveals that the LYESs scaling behavior is similar to our previous findings without the background field condensate. However, a significant difference from our earlier work is that the trajectory of LYESs terminates when the imaginary part of the singularity becomes 1 / 3 π T . We elaborate that this cutoff behavior is caused by the RW symmetry that is symmetric to the imaginary chemical potential Im μ = 1 / 3 π T .

Source: Physical review. D/Physical review. D.

DOI: 10.1103/p7y6-hq15

Authors: Zi-yan Wan, Yi Lu, Fei Gao, Yu-xin Liu

Institutions: Peking University, State Key Laboratory of Nuclear Physics and Technology, Beijing Institute of Technology

Language: English

Topic: High-Energy Particle Collisions Research

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funder: National Natural Science Foundation of China

Awards: G401811171, G5246638008, G8773653998