Effect of Gauge Boson Mass on the Phase Structure of QED3
Abstract
Dynamical chiral symmetry breaking (DCSB) in QED3 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 QED3 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 QED3. It is found that the gauge boson mass ma 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 ma increases. In particular, chiral symmetry gets restored when ma 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.
- Publication:
-
Modern Physics Letters A
- Pub Date:
- 2010
- DOI:
- 10.1142/S0217732310033906
- arXiv:
- arXiv:1009.1025
- Bibcode:
- 2010MPLA...25.2645L
- Keywords:
-
- QED<SUB>3</SUB>;
- DCSB;
- gauge boson mass;
- 11.10.Kk;
- 11.15.Tk;
- 11.30.Qc;
- Field theories in dimensions other than four;
- Other nonperturbative techniques;
- Spontaneous and radiative symmetry breaking;
- High Energy Physics - Phenomenology
- E-Print:
- 10 pages, 2 figures