4 research outputs found
A condition on the chiral symmetry breaking solution of the Dyson-Schwinger equation in three-dimensional QED
In three-dimensional QED, which is analyzed in the 1/ expansion, we obtain
a sufficient and necessary condition for a nontrivial solution of the
Dyson-Schwinger equation to be chiral symmetry breaking solution. In the
derivation, a normalization condition of the Goldstone bound state is used. It
is showed that the existent analytical solutions satisfy this condition.Comment: 11 pages, Latex, no figures, accepted by Phys.Lett.
Effect of gauge boson mass on chiral symmetry breaking in QED
In three-dimensional quantum electrodynamics (QED) with massive gauge
boson, we investigate the Dyson-Schwinger equation for the fermion self-energy
in the Landau gauge and find that chiral symmetry breaking (CSB) occurs when
the gauge boson mass is smaller than a finite critical value
but is suppressed when . We further show that the critical
value 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 , 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 is generated via
instanton effect in a compact QED of massless fermions, our result shows
that CSB coexists with instanton effect in a wide region of , which can be
used to study the confinement-deconfinement phase transition.Comment: 34 pagess, 2 figure