Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non local parity transformations and anomalies   We present an alternative derivation of the parity anomaly for a massless
Dirac field in 2+1 dimensions coupled to a gauge field. The anomaly functional,
a Chern-Simons action for the gauge field, is obtained from the non-trivial
Jacobian corresponding to a non local symmetry of the Pauli-Villars regularized
action. That Jacobian is well-defined, finite, and yields the standard
Chern-Simons term when the cutoff tends to infinity.

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The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
2
The categories of this paper are: math
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: eess