Nonperturbative renormalization of meson decay constants in quenched QCD for a renormalization group improved gauge action

Journal Article · Fri Oct 01 00:00:00 EDT 2004 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.70.074502· OSTI ID:20705359

Ide, K; Aoki, S; Kanaya, K; Taniguchi, Y ^[1]; Burkhalter, R; Ishikawa, K -I; Ishizuka, N; Iwasaki, Y; Ukawa, A; Yoshie, T ^[1]; Fukugita, M ^[2]; Hashimoto, S; Kaneko, T; Kuramashi, Y ^[3]; Ishikawa, T; Lesk, V; Umeda, T ^[4]; Okawa, M ^[5]

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1. Graduate School of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8571 (Japan)
2. Institute for Cosmic Ray Research, University of Tokyo, Tanashi, Tokyo 188-8502 (Japan)
3. High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0801 (Japan)
4. Center for Computational Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8577 (Japan)
5. Department of Physics, Hiroshima University, Higashi-Hiroshima, Hiroshima 739-8526 (Japan)

Renormalization constants (Z-factors ) of vector and axial-vector currents are determined nonperturbatively in quenched QCD for a renormalization group improved gauge action and a tadpole-improved clover quark action using the Schroedinger functional method. Nonperturbative values of Z-factors turn out to be smaller than 1-loop perturbative values by O(15%) at a lattice spacing of a{sup -1}{approx_equal} 1 GeV. The pseudoscalar and vector meson decay constants calculated with the nonperturbative Z-factors show a much better scaling behavior compared to previous results obtained with tadpole-improved one-loop Z-factors. In particular, the nonperturbative Z-factors normalized at infinite physical volume show that the scaling violations of the decay constants are within about 10% up to the lattice spacing a{sup -1}{approx}1 GeV. The continuum estimates obtained from data in the range a{sup -1}{approx} 1-2 GeV agree with those determined from finer lattices (a{sup -1}{approx}2-4 GeV) with the standard action.

• OSTI ID: 20705359
• Journal Information: Physical Review. D, Particles Fields, Vol. 70, Issue 7; Other Information: DOI: 10.1103/PhysRevD.70.074502; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AXIAL-VECTOR CURRENTS
GEV RANGE
LAGRANGIAN FIELD THEORY
LATTICE FIELD THEORY
PARTICLE DECAY
PSEUDOSCALAR MESONS
QUANTUM CHROMODYNAMICS
QUARKS
RENORMALIZATION
VECTOR MESONS