Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lattice worldline representation of correlators in a background field   We use a discrete worldline representation in order to study the continuum
limit of the one-loop expectation value of dimension two and four local
operators in a background field. We illustrate this technique in the case of a
scalar field coupled to a non-Abelian background gauge field. The first two
coefficients of the expansion in powers of the lattice spacing can be expressed
as sums over random walks on a d-dimensional cubic lattice. Using combinatorial
identities for the distribution of the areas of closed random walks on a
lattice, these coefficients can be turned into simple integrals. Our results
are valid for an anisotropic lattice, with arbitrary lattice spacings in each
direction.

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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex