Henty, D. S. and Kenway, R. D. and Pendleton, B. J. and Skullerud, Jon-Ivar (1994) Current renormalization constants with an O(a) improved fermion action. Physical Review D, 51 (9). pp. 5323-5326. ISSN 2470-0010

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Abstract

Using chiral Ward identities, we determine the renormalization constants of bilinear quark operators for the Sheikholeslami-Wohlert action lattice at {beta}=6.2. The results are obtained with a high degree of accuracy. For the vector current renormalization constant we obtain {ital Z}{sub {ital V}}=0.817{plus_minus}2{plus_minus}8, where the first error is statistical and the second is due to mass dependence of {ital Z}{sub {ital V}}. This is close to the perturbative value of 0.83. For the axial current renormalization constant we obtain {ital Z}{sub {ital A}}=1.045{sub {minus}14}{sup +10}, significantly higher than the value obtained in peturbation theory. This is shown to reduce the difference between lattice estimates and the experimental values for the pseudoscalar meson decay constants, but a significant discrepancy remains. The ratio of pseudoscalar to scalar renormalization constants, {ital Z}{sub {ital P}}/{ital Z}{sub {ital S}}, is less well determined, but seems to be slightly lower than the perturbative value.

Item Type:	Article
Keywords:	Current Renormalisation; Constants; O(a)-improved; Fermion Action;
Academic Unit:	Faculty of Science and Engineering > Research Institutes > Hamilton Institute Faculty of Science and Engineering > Theoretical Physics
Item ID:	15702
Identification Number:	https://doi.org/10.1103/physrevd.51.5323
Depositing User:	Dr. Jonivar Skullerud
Date Deposited:	21 Mar 2022 16:45
Journal or Publication Title:	Physical Review D
Publisher:	American Physical Society
Refereed:	Yes
URI:	Publisher
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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