Resummation of Cactus Diagrams in Lattice QCD, to all Orders
arXiv:hep-lat/9909014 · doi:10.1016/S0920-5632(00)91834-6
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.
LATTICE99(Improvement and Renormalization), 3 pages, LATeX with eps figures, uses espcrc2.sty. Corrected a statement regarding comparison with other methods. (We thank A. Kronfeld for bringing this point to our attention.)