Chiral and deconfinement phase transitions in QED3 with finite gauge boson mass

• Published in: Journal of experimental and theoretical physics Vol. 125; no. 5; pp. 752 - 761
• Main Authors: Yin, Pei-Lin, Xiao, Hai-Xiao, Zong, Hong-Shi
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01.11.2017; Springer Nature B.V
• Subjects: Antiferromagnetism; Astrophysics; Broken symmetry; Classical and Quantum Gravitation; Elementary Particles; Fields; Flavor (particle physics); Gravitation; Nuclei; Particle and Nuclear Physics; Particles; Phase transitions; Physics; Physics and Astronomy; Quantum Field Theory; Relativity Theory; Restoration; Solid State Physics; Superconductivity; Symmetry
• ISSN: 1063-7761; 1090-6509
• DOI: 10.1134/S1063776117110061

Based on the experimental observation that there is a coexisting region between the antiferromagnetic (AF) and d -wave superconducting ( d SC) phases, the influences of gauge boson mass m a on chiral symmetry restoration and deconfinement phase transitions in QED 3 are investigated simultaneously within a unified framework, i.e., Dyson–Schwinger equations. The results show that the chiral symmetry restoration phase transition in the presence of the gauge boson mass m a is a typical second-order phase transition; the chiral symmetry restoration and deconfinement phase transitions are coincident; the critical number of fermion flavors N c f decreases as the gauge boson mass m a increases, which implies that there exists a boundary that separates the N c f – m a plane into chiral symmetry breaking/confinement region for ( N c f , m a ) below the boundary and chiral symmetry restoration/deconfinement region for ( N c f , m a ) above it.