Resummation of Cactus Diagrams in Lattice QCD, to all Orders

Details Resummation of Cactus Diagrams in Lattice QCD, to all Orders Resummation of Cactus Diagrams in Lattice QCD, to all Orders

1999-09-02

arxiv.org/abs/hep-lat/9909014v2

Nucl.Phys.Proc.Suppl. 83 (2000) 884-886

Physics

High Energy Physics

High Energy Physics - Lattice

LATTICE99(Improvement and Renormalization), 3 pages, LATeX with eps figures, uses espcrc2.sty. Corrected a statement regarding

Scientific paper

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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