Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Testing the heating method with perturbation theory   The renormalization constants present in the lattice evaluation of the
topological susceptibility can be non-perturbatively calculated by using the
so-called heating method. We test this method for the $O(3)$ non-linear
$\sigma$-model in two dimensions. We work in a regime where perturbative
calculations are exact and useful to check the values obtained from the heating
method. The result of the test is positive and it clarifies some features
concerning the method. Our procedure also allows a rather accurate
determination of the first perturbative coefficients.

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The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs