Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Axial anomaly and topological charge in lattice gauge theory with
  Overlap Dirac operator   An explicit, detailed evaluation of the classical continuum limit of the
axial anomaly/index density of the overlap Dirac operator is carried out in the
infinite volume setting, and in a certain finite volume setting where the
continuum limit involves an infinite volume limit. Our approach is based on a
novel power series expansion of the overlap Dirac operator. The correct
continuum expression is reproduced when the parameter $m_0$ is in the physical
region $0<m_0<2$. This is established for a broad range of continuum gauge
fields. An analogous result for the fermionic topological charge, given by the
index of the overlap Dirac operator, is then established for a class of
topologically non-trivial fields in the aforementioned finite volume setting.
Problematic issues concerning the index in the infinite volume setting are also
discussed.

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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: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: econ