We investigate the influence of the full vacuum polarization and vertex function on the fermion propagator, using the coupled Dyson–Schwinger equations for the photon and fermion propagator. We show that, within a range of vertex functions, the general be
hep-ph/9606214
DPNU-96-21
TheIn uenceoftheFullVertexandVacuumPolarizationonthe
FermionPropagatorinQED3
P.Maris
DepartmentofPhysics,NagoyaUniversity,Nagoya464-01,Japan
(April1996)
Abstract
Weinvestigatethein uenceofthefullvacuumpolarizationandvertexfunc-
tiononthefermionpropagator,usingthecoupledDyson–Schwingerequations
forthephotonandfermionpropagator.Weshowthat,withinarangeofver-
texfunctions,thegeneralbehaviorofthefermionpropagatordoesnotdepend
ontheexactdetailsofthevertex,bothinthemasslessandinthemassive
phase.Independentoftheprecisevertexfunction,thereisacriticalnumberof
fermion avorsfordynamicalmassgenerationin(2+1)-dimensionalQED.A
consistenttreatmentofthevacuumpolarizationisessentialfortheseresults.
11.10.Kk,11.15.Tk,11.30.Qc,11.30.Rd
TypesetusingREVTEX
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