Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2005-09-06
Phys.Rev. D72 (2005) 094509
Physics
High Energy Physics
High Energy Physics - Lattice
15 pages, 7 figures. Final version, accepted in Physical Review D
Scientific paper
10.1103/PhysRevD.72.094509
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. Our work serves also as a test case of the techniques and limitations of lattice perturbation theory, it being the first 3-loop computation in the literature involving overlap fermions.
Panagopoulos Haralambos
Skouroupathis Apostolos
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