Improved actions and asymptotic scaling in lattice Yang-Mills theory

Details Improved actions and asymptotic scaling in lattice Yang-Mills theory Improved actions and asymptotic scaling in lattice Yang-Mills theory

2007-04-19

arxiv.org/abs/0704.2635v2

Phys.Rev.D76:094502,2007

Physics

High Energy Physics

High Energy Physics - Lattice

minor modifications, improved presentation

Scientific paper

10.1103/PhysRevD.76.094502

Improved actions in SU(2) and SU(3) lattice gauge theories are investigated with an emphasis on asymptotic scaling. A new scheme for tadpole improvement is proposed. The standard but heuristic tadpole improvement emerges from a mean field approximation from the new approach. Scaling is investigated by means of the large distance static quark potential. Both, the generic and the new tadpole scheme yield significant improvements on asymptotic scaling when compared with loop improved actions. A study of the rotational symmetry breaking terms, however, reveals that only the new improvement scheme efficiently eliminates the leading irrelevant term from the action.

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