Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A calculation of the gauge anomaly with the chiral overlap operator   We investigate the property of the effective action with the chiral overlap
operator, which was derived by Grabowska and Kaplan. They proposed a lattice
formulation of four-dimensional chiral gauge theory, which is derived from
their domain-wall formulation. In this formulation, an extra dimension is
introduced and the gauge field along the extra dimension is evolved by the
gradient flow. The chiral overlap operator satisfies the Ginsparg-Wilson
relation and only depends on the gauge fields on the two boundaries. In this
paper, we start from the arbitrary even-dimensional chiral overlap operator. We
treat the gauge fields on the two boundaries independently, and derive the
general expression to calculate the gauge anomaly with the chiral overlap
operator in the continuum limit. As a result, we show that the gauge anomalies
with the chiral overlap operator in two, four, and six dimensions in the
continuum limit is equivalent to those known in the continuum theory up to
total derivatives.

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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas