One-loop anisotropy for improved actions

Abstract

We determine the one-loop correction to the anisotropy factor for the square Symanzik improved lattice action, extracted fromthe finite volume effective action for SU(N) gauge theories in the background of a zero-momentum gauge field. The result is smaller by approximately a factor 3 than the one-loop correction for the anisotropic Wilson action. We also comment on the Hamiltonian limit.

11 pages, 1 figure

References in corpus (2)

• Square Symanzik action to one-loop order
• A Monte Carlo study of old, new and tadpole improved actions

Cited by in corpus (13)

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• Improved Gauge Actions on Anisotropic Lattices I
• Gauge Theories on a 2+2 Anisotropic Lattice
• Lattice perturbation theory for gluonic and fermionic actions
• Hamiltonian Study of Improved $U(1$ Lattice Gauge Theory in Three Dimensions
• Renormalization of Anisotropy and Glueball Masses on Tadpole Improved Lattice Gauge Action
• Renormalisation of gauge theories on general anisotropic lattices and high-energy scattering in QCD