Resummation of Cactus Diagrams in Lattice QCD, to all Orders

Panagopoulos, H. and Vicari, E. (2000) Resummation of Cactus Diagrams in Lattice QCD, to all Orders. Nuclear Physics B - Proceedings Supplements, 83 . pp. 884-886. ISSN 1873-3832

Abstract

We show how to perform a resummation, to all orders in perturbation theory, of a certain class of gauge invariant tadpole-like diagrams in Lattice QCD. These diagrams are often largely responsible for lattice artifacts. Our resummation leads to an improved perturbative expansion. Applied to a number of cases of interest, e.g. the lattice renormalization of some two-fermion operators, this expansion yields results remarkably close to corresponding nonperturbative estimates. We consider in our study both the Wilson and the clover action for fermions.

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