We study the renormalization of the topological susceptibility, chi, when the density of topological charge is defined as a local operator on the lattice. In the 2D O(3) sigma-model we determine both multiplicative and additive renormalizations by heating configurations with a definite number of instantons. We find results that are consistent with perturbation theory. The method is also applicable to the physically interesting case of 4D non-abelian gauge theories.
RENORMALIZATION AND TOPOLOGICAL SUSCEPTIBILITY ON THE LATTICE
DI GIACOMO, ADRIANO;VICARI, ETTORE
1992-01-01
Abstract
We study the renormalization of the topological susceptibility, chi, when the density of topological charge is defined as a local operator on the lattice. In the 2D O(3) sigma-model we determine both multiplicative and additive renormalizations by heating configurations with a definite number of instantons. We find results that are consistent with perturbation theory. The method is also applicable to the physically interesting case of 4D non-abelian gauge theories.File in questo prodotto:
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