Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transition in the spectral gap of the massless overlap Dirac operator
  coupled to abelian fields in three dimensions   The low lying spectrum of the massless overlap Dirac operator coupled to
abelian fields in three dimensions with three different measures are shown to
exhibit two phases: a strong coupling gapped phase and a weak coupling gapless
phase. The vanishing of the gap from the strong coupling side with a Maxwell
and a conformal measure is governed by a Gaussian exponent. Contrary to this
result, the vanishing of the gap from the strong coupling side with a compact
Thirring measure is not consistent with a Gaussian exponent. The low lying
spectrum with a non-compact Thirring measure does not exhibit a simple
non-monotonic behavior as a function of the lattice size on the weak coupling
side. Our combined analysis suggests exploring the possibility of a strongly
coupled continuum theory starting from a compact lattice Thirring model where a
compact U(1) gauge field with a single link action is coupled to even number of
flavors of massless overlap Dirac fermions.

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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an