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Vacuum Stability for Dirac Fermions in Three Dimensions

High Energy Physics - Theory 2009-10-30 v1 Condensed Matter High Energy Physics - Phenomenology

Abstract

I investigate three dimensional abelian and non-abelian gauge theories interacting with Dirac fermions. Using a variational method I evaluate the vacuum energy density in the one-loop approximation. It turns out that the states with a constant magnetic condensate lie below the perturbative ground state only in the case of three dimensional quantum electrodynamics with massive fermions.

Keywords

Cite

@article{arxiv.hep-th/9606149,
  title  = {Vacuum Stability for Dirac Fermions in Three Dimensions},
  author = {Paolo Cea},
  journal= {arXiv preprint arXiv:hep-th/9606149},
  year   = {2009}
}

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RevTex, 9 pages, uuencoded, gzip'ed file

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