Improved action and Hamiltonian in finite volumes

Details Improved action and Hamiltonian in finite volumes Improved action and Hamiltonian in finite volumes

1996-08-05

arxiv.org/abs/hep-lat/9608015v1

Nucl.Phys.Proc.Suppl.53:890-895,1997

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages, 2 figures. Talk presented at LATTICE96(improvement)

Scientific paper

10.1016/S0920-5632(96)00811-0

We introduce a new Symanzik improved action by adding a 2x2 plaquette in such a way that the Feynman rules in the covariant gauge simplify. We call this the square Symanzik action. Some comparisons with the continuum and the standard Wilson action are made in intermediate volumes, where mass ratios are accurately known and the precise amount of improvement can be determined. Ratios of the Lambda parameters will be presented, as well as partial results for the one-loop improvement coefficients. We discuss some of the intricacies that arise because of violations of unitarity at the scale of the cutoff. In particular we show how a field redefinition in the zero-momentum effective action allows one to remove scaling violations linear in the lattice spacing.

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