Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Heat kernel expansion: user's manual   The heat kernel expansion is a very convenient tool for studying one-loop
divergences, anomalies and various asymptotics of the effective action. The aim
of this report is to collect useful information on the heat kernel coefficients
scattered in mathematical and physical literature. We present explicit
expressions for these coefficients on manifolds with and without boundaries,
subject to local and non-local boundary conditions, in the presence of various
types of singularities (e.g., domain walls). In each case the heat kernel
coefficients are given in terms of several geometric invariants. These
invariants are derived for scalar and spinor theories with various
interactions, Yang-Mills fields, gravity, and open bosonic strings. We discuss
the relations between the heat kernel coefficients and quantum anomalies,
corresponding anomalous actions, and covariant perturbation expansions of the
effective action (both "low-" and "high-energy" ones).

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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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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: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom