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

I. T. Drummond·A. Hart·R. R. Horgan·L. C. Storoni
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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).

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I. T. Drummond, A. Hart, R. R. Horgan, L. C. Storoni. 2002-11-19. One loop calculation of the renormalised anisotropy for improved anisotropic gluon actions on a lattice. https://doi.org/10.1103/physrevd.66.094509

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