Work

Columbia plot based on the symmetry-improved Cornwall-Jackiw-Tomboulis formalism in the linear sigma model

Year: 2025

Type: article

Abstract: We study the Columbia plot for the chiral phase transition in the framework of a three-flavor linear sigma model based on the Cornwall-Jackiw-Tomboulis (CJT) formalism. The conventional CJT approach with the Hartree truncation suffers from artificial chiral breaking, leading to the violation of the Nambu-Goldstone theorem and the (anomalous) chiral Ward-Takahashi identities. We apply the symmetry-improved CJT formalism to resolve this issue. We observe a first-order phase transition and a tricritical point in the light-quark mass regime, which is relatively independent of the size of the sigma meson, in contrast to the conventional CJT approach. The tricritical point, found on the m s axis, is at m s tri / m s phys = 0.175 with m s phys being the physical strange quark mass in real-life QCD. The critical pion mass in the three-flavor symmetric limit, on the second-order boundary, is measured at m π ∼ 52.4 MeV , with the critical temperature T c ∼ 51.7 MeV .

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

DOI: 10.1103/71r7-8b3p

Authors: Yuepeng Guan, Mamiya Kawaguchi, Shinya Matsuzaki, Akio Tomiya

Institutions: Jilin University, Anhui University of Science and Technology, Tokyo Woman's Christian University, RIKEN Center for Computational Science

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: Ministry of Education, Culture, Sports, Science and Technology, National Natural Science Foundation of China, Jilin University, Japan Society for the Promotion of Science