(2-DIMENSIONAL QED WITH DYNAMICALLY MASSIVE FERMIONS IN VACUUM POLARIZATION(1))

Citation
Vp. Gusynin et al., (2-DIMENSIONAL QED WITH DYNAMICALLY MASSIVE FERMIONS IN VACUUM POLARIZATION(1)), Physical review. D. Particles and fields, 53(4), 1996, pp. 2227-2235
Citations number
29
Categorie Soggetti
Physics, Particles & Fields
ISSN journal
05562821
Volume
53
Issue
4
Year of publication
1996
Pages
2227 - 2235
Database
ISI
SICI code
0556-2821(1996)53:4<2227:(QWDMF>2.0.ZU;2-W
Abstract
We study chiral symmetry breaking in three-dimensional QED with N-f fl avors of four-component fermions. A closed system of Schwinger-Dyson e quations for fermion and photon propagators and the full fermion-photo n vertex is proposed, which is consistent with the Ward-Takahashi iden tity. A simplified version of that set of equations is reduced (in the nonlocal gauge) to the equation for a dynamical fermion mass function , where the one-loop vacuum polarization with dynamically massive ferm ions has been taken into account. The linearized equation for the ferm ion mass function is analyzed in real space. The analytical solution i s compared with the results of numerical calculations of the nonlinear integral equation in momentum space.