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Topological charge renormalization: A test case for 3-loop vacuum calculations using overlap fermions and Symanzik improved gluons

A. Skouroupathis·H. Panagopoulos
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Abstract

We calculate perturbative renormalization properties of the topological charge, using the standard lattice discretization given by a product of twisted plaquettes. We use the overlap and clover action for fermions, and the Symanzik improved gluon action for 4- and 6-link loops. We compute the multiplicative renormalization of the topological charge density to one loop; this involves only the gluon part of the action. The power divergent additive renormalization of the topological susceptibility is calculated to 3 loops.

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A. Skouroupathis, H. Panagopoulos. 2005-09-07. Topological charge renormalization: A test case for 3-loop vacuum calculations using overlap fermions and Symanzik improved gluons. https://arxiv.org/abs/hep-lat/0509015

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