Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interplay of Infrared Divergences and Gauge-Dependence of the Effective
  Potential   The perturbative effective potential suffers infrared (IR) divergences in
gauges with massless Goldstones in their minima (like Landau or Fermi gauges)
but the problem can be fixed by a suitable resummation of the Goldstone
propagators. When the potential minimum is generated radiatively,
gauge-independence of the potential at the minimum also requires resummation
and we demonstrate that the resummation that solves the IR problem also cures
the gauge-dependence issue, showing this explicitly in the Abelian Higgs model
in Fermi gauge. In the process we find an IR divergence (in the location of the
minimum) specific to Fermi gauge and not appreciated in recent literature. We
show that physical observables can still be computed in this gauge and we
further show how to get rid of this divergence by a field redefinition. All
these results generalize to the Standard Model case.

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The categories of this paper are: hep-ex
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The categories of this paper are: math
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an