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Spectral function in QED3

Yuichi Hoshino
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Abstract

We discuss the structure of the dressed fermion propagator in unquenched QED3 based on spectral function of photon.In this approximation infrared divergences that appeared in quenched case turns out to be soft.The dimension full coupling constant naturally appears as an infrared mass scale in this case.We find the reliable results for the effects of vacuum polarization for the dressed fermion propagator.The lowest order fermion spectral function has logarithmically divergent Coulomb energy as well as self-energy,whch plays the role of confinement and dynamical mass generation.In our model finiteness condition of vacuum expectation value is equivalent to choose the scale of physical mass which is expected in the 1/N approximation.

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Yuichi Hoshino. 2006-04-03. Spectral function in QED3. https://arxiv.org/abs/hep-th/0512152

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