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Noncompact pure gauge QED in 3-D is free

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Publication Date
Identifiers
DOI: 10.1016/0370-2693(95)00913-6
OAI: oai:inspirehep.net:393903
Source
INSPIRE-HEP
Keywords
  • Theory-Hep
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Abstract

For all Poincaré invariant Lagrangians of the form L ≡ f ( F μν ), in three Euclidean dimensions, where f is any invariant function of a non-compact U (1) field strength F μν , we find that the only continuum limit (described by just such a gauge field) is that of free field theory: First we approximate a gauge invariant version of Wilson's renormalization group by neglecting all higher derivative terms ∼ ∂ n F in L, but allowing for a general non-vanishing anomalous dimension. Then we prove analytically that the resulting flow equation has only one acceptable fixed point: the Gaussian fixed point. The possible relevance to high- T c superconductivity is briefly discussed.

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