Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gribov Copy and Complex Phase of Chiral Determinant   We calculate the complex phase of chiral determinant by the vacuum overlap
formula with configurations of two-dimensional U(1) gauge field fixed in Landau
and Laplacian gauge. The complex phase fluctuates over the Gribov copies, which
appear in the process of Landau gauge fixing and contain vortex-like
singularities. In the Laplacian gauge, the fluctuation can be reduced and the
phase can be determined uniquely. If it is used as a preconditioning for Landau
gauge fixing, the most smooth configuration is obtained among the copies
generated.

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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: physics
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: math
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The categories of this paper are: plasm-ph