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High Energy Physics - Lattice

arXiv:0706.2460 (hep-lat)
[Submitted on 17 Jun 2007 (v1), last revised 4 Jan 2008 (this version, v2)]

Title:Non-perturbative renormalization of the static vector current and its O(a)-improvement in quenched QCD

Authors:Filippo Palombi
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Abstract: We carry out the renormalization and the Symanzik O(a)-improvement programme for the static vector current in quenched lattice QCD. The scale independent ratio of the renormalization constants of the static vector and axial currents is obtained non-perturbatively from an axial Ward identity with Wilson-type light quarks and various lattice discretizations of the static action. The improvement coefficients cVstat and bVstat are obtained up to O(g_0^4)-terms by enforcing improvement conditions respectively on the axial Ward identity and a three-point correlator of the static vector current. A comparison between the non-perturbative estimates and the corresponding one-loop results shows a non-negligible effect of the O(g_0^4)-terms on the improvement coefficients but a good accuracy of the perturbative description of the ratio of the renormalization constants.
Comments: 28 pages, 10 figures; two paragraphs added at the end of sect. 5; version as accepted for publication in JHEP
Subjects: High Energy Physics - Lattice (hep-lat)
Cite as: arXiv:0706.2460 [hep-lat]
  (or arXiv:0706.2460v2 [hep-lat] for this version)
  https://doi.org/10.48550/arXiv.0706.2460
Journal reference: JHEP0801:021,2008
Related DOI: https://doi.org/10.1088/1126-6708/2008/01/021

Submission history

From: Filippo Palombi [view email]
[v1] Sun, 17 Jun 2007 10:12:58 UTC (124 KB)
[v2] Fri, 4 Jan 2008 09:46:51 UTC (124 KB)
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