TL;DR
This paper analyzes the dressed fermion propagator in unquenched QED3 using spectral functions, revealing how vacuum polarization influences infrared divergences, confinement, and dynamical mass generation.
Contribution
It introduces a spectral function approach to unquenched QED3, demonstrating the role of the coupling as an infrared scale and addressing vacuum polarization effects.
Findings
Infrared divergences become soft in unquenched QED3
Vacuum polarization affects the dressed fermion propagator
Logarithmic divergence in Coulomb energy and self-energy
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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Taxonomy
TopicsQuantum and Classical Electrodynamics · Quantum Mechanics and Applications · Relativity and Gravitational Theory