2010/09/06 by Jian-Feng Li, Jianfeng Li, Yu-Qing Zhou +6
Physics and Astronomy · #Ansatz #Boson #Chiral symmetry breaking #Cold Atom Physics and Bose-Einstein Condensates #Gauge anomaly #Gauge boson #Gauge symmetry #Gauge theory #Goldstone boson #Particle physics #Phase (matter) #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Propagator #Quantum electrodynamics #Quantum many-body systems #Quantum mechanics #Symmetry breaking #hep-ph
paper · pdf · doi:10.1142/s0217732310033906
published as Mod.Phys.Lett.A25:2645-2653,2010 · 10 pages, 2 figures
arxiv created 2010/09/06 · openalex publication_date 2010/09/27 · arxiv updated 2010/11/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Dynamical chiral symmetry breaking (DCSB) in QED 3 with finite gauge boson mass is studied in the framework of the rainbow approximation of Dyson–Schwinger equations. By adopting a simple gauge boson propagator ansatz at finite temperature, we first numerically solve the Dyson–Schwinger equation for the fermion self-energy to determine the chiral phase diagram of QED 3 with finite gauge boson mass at finite chemical potential and finite temperature, then we study the effect of the finite gauge mass on the phase diagram of QED 3 . It is found that the gauge boson mass m a suppresses the occurrence of DCSB. The area of the region in the chiral phase diagram corresponding to DCSB phase decreases as the gauge boson mass m a increases. In particular, chiral symmetry gets restored when m a is above a certain critical value. In this paper, we use DCSB to describe the antiferromagnetic order and use the gauge boson mass to describe the superconducting order. Our results give qualitatively a physical picture on the competition and coexistence between antiferromagnetic order and superconducting orders in high temperature cuprate superconductors.