One-loop renormalisation of quark bilinears for overlap fermions with improved gauge actions
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We compute lattice renormalisation constants of local bilinear quark operators for overlap fermions and improved gauge actions. Among the actions we consider are the Symanzik, Lüscher-Weisz, Iwasaki and DBW2 gauge actions. The results are given for a variety of $ρ$ parameters. We show how to apply mean field (tadpole) improvement to overlap fermions. The question, what is a good gauge action, is discussed from the perturbative point of view. Finally, we show analytically that the gauge dependent part of the self-energy and the amputated Green functions are independent of the lattice fermion representation, using either Wilson or overlap fermions.
38 pages, 5 figures, v2: Numbers in Tables 1-4,7-10 corrected, Figs. 4,5 updated, 2 misprints in (A.2), (A.4) corrected
38 pages, 5 figures, v2: Numbers in Tables 1-4,7-10 corrected, Figs. 4,5 updated, 2 misprints in (A.2), (A.4) corrected