Resummation of Cactus Diagrams in Lattice QCD

Abstract

We show how to perform a resummation, to all orders in perturbation theory, of a certain class of gauge invariant 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, this expansion yields results remarkably close to corresponding nonperturbative estimates.

18 pages

References in corpus (1)

• The three-loop beta function of SU(N) lattice gauge theories with Wilson fermions

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• Multi-Representation Dynamics of SU(4) Composite Higgs Models: Chiral Limit and Spectral Reconstructions
• The Critical Hopping Parameter in O(a) improved Lattice QCD
• Resummation of Cactus Diagrams in the Clover Improved Lattice Formulation of QCD
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• Two-loop additive mass renormalization with clover fermions and Symanzik improved gluons