Effect of gauge boson mass on chiral symmetry breaking in threedimensional QED
Abstract
In threedimensional quantum electrodynamics (QED_{3}) with a massive gauge boson, we investigate the DysonSchwinger equation for the fermion selfenergy in the Landau gauge and find that chiral symmetry breaking (CSB) occurs when the gauge boson mass ξ is smaller than a finite critical value ξ_{cv} but is suppressed when ξ>ξ_{cv}. We further show that the critical value ξ_{cv} does not qualitatively change after considering higher order corrections from the wave function renormalization and vertex function. Based on the relation between CSB and the gauge boson mass ξ, we give a field theoretical description of the competing antiferromagnetic and superconducting orders and, in particular, the coexistence of these two orders in high temperature superconductors. When the gauge boson mass ξ is generated via the instanton effect in a compact QED_{3} of massless fermions, our result shows that CSB coexists with the instanton effect in a wide region of ξ, which can be used to study the confinementdeconfinement phase transition.
 Publication:

Physical Review D
 Pub Date:
 March 2003
 DOI:
 10.1103/PhysRevD.67.065010
 arXiv:
 arXiv:hepth/0211231
 Bibcode:
 2003PhRvD..67f5010L
 Keywords:

 11.30.Qc;
 11.30.Rd;
 74.20.Mn;
 Spontaneous and radiative symmetry breaking;
 Chiral symmetries;
 Nonconventional mechanisms;
 High Energy Physics  Theory
 EPrint:
 34 pagess, 2 figures