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

Horsley, R.; Perlt, H.; Rakow, P.E.L.; Schierholz, G. and Schiller, A. (2005) One-loop renormalisation of quark bilinears for overlap fermions with improved gauge actions. Nuclear Physics B, 713 (1-3). pp. 601-606. ISSN 0550-3213

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## Abstract

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.

Item Type: Article LTH 618. arXiv Number: arXiv:hep-lat/0404007v2. Available online 10 February 2005. Issue: 2 May 2005. FERMION LATTICE FIELD THEORY; GAUGE FIELD THEORY; FERMION OVERLAP; LATTICE FIELD THEORY ACTION; RENORMALIZATION; MEAN FIELD APPROXIMATION; NUMERICAL CALCULATIONS Q Science > QC Physics Academic Faculties, Institutes and Research Centres > Faculty of Science > Department of Mathematical Sciences 10.1016/j.nuclphysb.2005.01.044 http://arxiv.org/abs/hep-lat/0404007 No Published 488 19 Aug 2008 10:17 20 May 2011 13:26

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