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

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

2005-09-07

arxiv.org/abs/hep-lat/0509015v1

PoS LAT2005 (2005) 230

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages, 5 figures, poster presented at Lattice2005(renormalization and improvement), Dublin, July 25-30, 2005. A longer write

Scientific paper

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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