One loop calculation of the renormalised anisotropy for improved anisotropic gluon actions on a lattice

Abstract

Using the infrared dispersion relation of the on shell gluon, we calculate the renormalisation of the the anisotropy to one loop in perturbation theory for lattice Yang-Mills theories, including the Wilson action and actions with Symanzik and/or tadpole improvement. Using twisted boundary conditions as a gauge invariant infrared regulator, we show for an SU(3) gauge group in D=3+1 dimensions that the one loop anisotropy is accurate to O(3%) for a range of g^2 and chi covering current simulations. In doing so we also present Feynman rules for SU(N) gauge groups with generic anisotropy structure (including `3+1' and `2+2' cases).

Some clarification and correction of typos (24 pp., 3 eps figs.)

References in corpus (2)

• Semileptonic B Decays from an NRQCD/D234 Action
• Comparison Studies of Finite Momentum Correlators on Anisotropic and Isotropic Lattices

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