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One-loop renormalisation of lattice QCD operators for non-forward matrix elements: from clover to overlap fermions

Göckeler, M.; Horsley, R.; Perlt, H.; Rakow, P.E.L.; Schierholz, G. and Schiller, A. (2006) One-loop renormalisation of lattice QCD operators for non-forward matrix elements: from clover to overlap fermions. In: XXIVth International Symposium on Lattice Field Theory, July 23-28, 2006, Tucson, Arizona, USA.

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Abstract

We consider the renormalisation of composite quark-antiquark operators with one and two lattice covariant derivatives related to the lowestmoments of generalised parton distributions (GPDs) and meson distribution amplitudes (DAs). Their matrix elements are calculated in one-loop lattice perturbation theory for non-zero momentum transfer. Using clover and overlap fermions we present the resulting matrices of mixing and renormalisation factors. For overlap fermions we explicitly check the absence of mixing with lower-dimensional operators of different chirality in particular representations of the hypercubic group. This feature favours the use of chiral fermions.

Item Type:Conference or Workshop Item (Paper)
Additional Information:LTH 719; arXive Number: arXiv:hep-lat/0610060v1. Additional citation: PoS(LAT2006)161. Article number: 161. Conference number: LAT2006. 7 pages.
Uncontrolled Keywords:clover; quantum; chromodynamics; quark antiquark; operator fermion; chiral; renormalization; lattice field theory; operator; composite; generalized parton distribution
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:127
Deposited On:08 Aug 2008 14:36
Last Modified:20 May 2011 19:17

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