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    Current renormalization constants with an O(a) improved fermion action


    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:

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