Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the spectrum of the Wilson-Dirac lattice operator in topologically
  non-trivial background configurations   We study characteristic features of the eigenvalues of the Wilson-Dirac
operator in topologically non-trivial gauge field configurations by examining
complete spectra of the fermion matrix. In particular we discuss the role of
eigenvectors with real eigenvalues as the lattice equivalents of the continuum
zero-modes. We demonstrate, that those properties of the spectrum which
correspond to non-trivial topology are stable under adding fluctuations to the
gauge fields. The behavior of the spectrum in a fully quantized theory is
discussed using QED_2 as an example.

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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
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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: q-fin
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The categories of this paper are: stat
4
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: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph