One-loop renormalisation of quark bilinears for overlap fermions with improved gauge actions

Details One-loop renormalisation of quark bilinears for overlap fermions with improved gauge actions One-loop renormalisation of quark bilinears for overlap fermions with improved gauge actions

2004-04-07

arxiv.org/abs/hep-lat/0404007v2

Nucl.Phys.B693:3-35,2004; Erratum-ibid.B713:601-606,2005

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1016/j.nuclphysb.2005.01.044

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, L\"uscher-Weisz, Iwasaki and DBW2 gauge actions. The results are given for a variety of $\rho$ 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.

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