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Non-perturbative renormalisation for overlap fermions

Gürtler, Martin; Horsley, Roger; Rakow, Paul E.L.; Roberts, Charles J.; Schierholz, Gerrit and Streuer, Thomas (2005) Non-perturbative renormalisation for overlap fermions. In: XXIIIrd International Symposium on Lattice Field Theory, 25-30 July 2005, Trinity College, Dublin, Ireland.

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Abstract

Using non-perturbative techniques we have found the renormalisation factor, Z, in the RI-MOM scheme for quark bilinear operators in quenched QCD. We worked with overlap fermions using the Luescher-Weisz gauge action. Our calculation was performed at beta=8.45 at a lattice spacing of 1/a=2.1 GeV using a value of rho=1.4. Our results show good agreement between the vector and the axial vector in the zero mass limit. This shows that overlap fermions have good chiral properties. To attempt to improve the discretisation errors in our results we subtracted the O(a^2) terms in one-loop lattice perturbation theory from the Monte Carlo Green functions. In particular we paid attention to the operators for the observable <x>. We found a value for the renormalisation constants Z^msbar_(v_2b) and Z^msbar_(v_2a) just less than 1.9 at mu=1/a=2.1 GeV.

Item Type:Conference or Workshop Item (Poster)
Additional Information:LTH 669; arXiv Number: arXiv:hep-lat/0510045v1. Additional citation information: PoS LAT2005 (2005) 125. Article ID: 125. 6 pages.
Uncontrolled Keywords:quark bilinear operators; quenched QCD; Luescher-Weisz gauge action; vector; axial vector; chiral properties; one-loop lattice perturbation theory; Monte Carlo Green functions
Subjects:Q Science > QC Physics
Departments, Research Centres and Related Units:Academic Faculties, Institutes and Research Centres > Faculty of Science > Department of Mathematical Sciences
Publisher's Statement:Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence. The author(s) and right holder(s) of such contributions grant(s) to all users a free, irrevocable, worldwide, right of access to, and a license to copy, use, distribute, transmit and display the work publicly and to make and distribute derivative works, in any digital medium for any responsible purpose, subject to proper attribution of authorship (community standards, will continue to provide the mechanism for enforcement of proper attribution and responsible use of the published work, as they do now), as well as the right to make small numbers of printed copies for their personal use.
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Refereed:Yes
Status:Published
ID Code:403
Deposited On:18 Aug 2008 12:04
Last Modified:04 May 2012 14:14

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