Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noncommutative Chiral Gauge Theories on the Lattice with Manifest
  Star-Gauge Invariance   We show that noncommutative U(r) gauge theories with a chiral fermion in the
adjoint representation can be constructed on the lattice with manifest
star-gauge invariance in arbitrary even dimensions. Chiral fermions are
implemented using a Dirac operator which satisfies the Ginsparg-Wilson
relation. A gauge-invariant integration measure for the fermion fields can be
given explicitly, which simplifies the construction as compared with lattice
chiral gauge theories in ordinary (commutative) space-time. Our construction
includes the cases where continuum calculations yield a gauge anomaly. This
reveals a certain regularization dependence, which is reminiscent of parity
anomaly in commutative space-time with odd dimensions. We speculate that the
gauge anomaly obtained in the continuum calculations in the present cases can
be cancelled by an appropriate counterterm.

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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: supr-con
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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: math
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: bayes-an