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

Horsley, R, Perlt, H, Rakow, PEL ORCID: 0000-0003-4486-2158, Schierholz, G and Schiller, A (2004) One-loop renormalisation of quark bilinears for overlap fermions with improved gauge actions. Nucl.Phys.B, 693 (1-3). pp. 3-35.

	PDF 0404007v2.pdf - Unspecified Download (345kB)
	Postscript (Requires a viewer, such as GSview) 0404007v2.ps.ps - Unspecified Download (595kB)

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
Additional Information:	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
Uncontrolled Keywords:	hep-lat, hep-lat
Subjects:	?? QC ??
Divisions:	Faculty of Science and Engineering > School of Physical Sciences > Mathematical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	19 Aug 2008 09:17
Last Modified:	17 Dec 2022 01:35
DOI:	10.1016/j.nuclphysb.2005.01.044
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/488