Testing the heating method with perturbation theory

Details Testing the heating method with perturbation theory Testing the heating method with perturbation theory

1995-12-07

arxiv.org/abs/hep-lat/9512010v1

Phys.Rev. D54 (1996) 1044-1049

Physics

High Energy Physics

High Energy Physics - Lattice

15 pages, LaTeX file, needs RevTeX style. Tarred, gzipped, uuencoded

Scientific paper

10.1103/PhysRevD.54.1044

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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