Göckeler, M.; Horsley, R.; Perlt, H.; Rakow, P.E.L.; Schierholz, G. and Schiller, A. (2006) Operator product expansion on the lattice: analytic Wilson coefficients. In: XXIVth International Symposium on Lattice Field Theory, July 23-28, 2006, Tucson, Arizona, USA.
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Abstract
We present first results forWilson coefficients of operators up to first order in the covariant derivatives for the case of Wilson fermions. They are derived from the off-shell Compton scattering amplitude Wmn (a, p,q) of massless quarks with momentum p. The Wilson coefficients are classified according to the transformation of the corresponding operators under the hypercubic group H(4). We give selected examples for a special choice of the momentum transfer q. All Wilson coefficients are given in closed analytic form and in an expansion in powers of a up to first corrections.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Additional Information: | LTH 721; arXiv Number: arXiv:hep-lat/0610064v1. Additional citation information: PoS(LAT2006)119. Article ID: 119. Conference ID: LAT2006. 7 pages. |
| Uncontrolled Keywords: | Compton scattering; off-shell; lattice field theory; scattering amplitude; operator product expansion |
| 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. http://creativecommons.org/licenses/by-nc-sa/2.0/deed.en |
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| Refereed: | Yes |
| Status: | Published |
| ID Code: | 125 |
| Deposited On: | 08 Aug 2008 14:26 |
| Last Modified: | 20 May 2011 19:18 |
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