Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the definition of the covariant lattice Dirac operator   In the continuum the definitions of the covariant Dirac operator and of the
gauge covariant derivative operator are tightly intertwined. We point out that
the naive discretization of the gauge covariant derivative operator is related
to the existence of local unitary operators which allow the definition of a
natural lattice gauge covariant derivative. The associated lattice Dirac
operator has all the properties of the classical continuum Dirac operator, in
particular antihermiticy and chiral invariance in the massless limit, but is of
course non-local in accordance to the Nielsen-Ninomiya theorem. We show that
this lattice Dirac operator coincides in the limit of an infinite lattice
volume with the naive gauge covariant generalization of the SLAC derivative,
but contains non-trivial boundary terms for finite-size lattices. Its numerical
complexity compares pretty well on finite lattices with smeared lattice Dirac
operators.

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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: math
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: nlin