Mass singularity and confining property in $QED_3$

Details Mass singularity and confining property in $QED_3$ Mass singularity and confining property in $QED_3$

2004-04-07

arxiv.org/abs/hep-th/0404059v11

JHEP0409:048,2004

Physics

High Energy Physics

High Energy Physics - Theory

22pages,4figures,revtex4,Notational sloppiness are crrected.Submitted to JHEP

Scientific paper

10.1088/1126-6708/2004/09/048

We discuss the properties of the position space fermion propagator in three dimensional QED which has been found previouly based on Ward-Takahashi-identity for soft-photon emission vertex and spectral representation.There is a new type of mass singularity which governs the long distance behaviour.It leads the propagator vanish at large distance.This term corresponds to dynamical mass in position space.Our model shows confining property and dynamical mass generation for arbitrary coupling constant.Since we used dispersion retation in deriving spectral function there is a physical mass which sets a mass scale.For finite cut off we obtain the full propagator in the dispersion integral as a superposition of different massses.Low energy behaviour of the proagator is modified to decrease by position dependent mass.In the limit of zero infrared cut-off the propagator vanishes with a new kind of infrared behaviour.

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