On gauge-invariant Green function in 2+1 dimensional QED

dc.creatorYe, Jinwu
dc.date2002-05-20
dc.date2003-01-04
dc.date.accessioned2026-07-07T12:16:38Z
dc.date.available2026-07-07T12:16:38Z
dc.descriptionBoth the gauge-invariant fermion Green function and gauge-dependent conventional Green function in $ 2+1 $ dimensional QED are studied in the large $ N $ limit. In temporal gauge, the infra-red divergence of gauge-dependent Green function is found to be regulariable, the anomalous dimension is found to be $ η= \frac{64}{3 π^{2} N} $. This anomalous dimension was argued to be the same as that of gauge-invariant Green function. However, in Coulomb gauge, the infra-red divergence of the gauge-dependent Green function is found to be un-regulariable, anomalous dimension is even not defined, but the infra-red divergence is shown to be cancelled in any gauge-invariant physical quantities. The gauge-invariant Green function is also studied directly in Lorentz covariant gauge and the anomalous dimension is found to be the same as that calculated in temporal gauge.
dc.description8 pages, 6 figures, to appear in Phys. Rev. B
dc.identifierhttps://arxiv.org/abs/cond-mat/0205417
dc.identifierhttp://arxiv.org/abs/cond-mat/0205417
dc.identifierPhys.Rev.B67:115104,2003
dc.identifierdoi:10.1103/PhysRevB.67.115104
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211863
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Theory
dc.titleOn gauge-invariant Green function in 2+1 dimensional QED
dc.typetext

Files

Collections