Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-09-06
Mod.Phys.Lett.A25:2645-2653,2010
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages, 2 figures
Scientific paper
10.1142/S0217732310033906
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.
Feng Hong-Tao
Li Jian-Feng
Sun Wei-Min
Zhou Yu-Qing
Zong Hong-Shi
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