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The Influence of the Full Vertex and Vacuum Polarization on the

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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