Scaling study of the step scaling function in SU(3) gauge theory with improved gauge actions

Journal Article · Fri Oct 01 04:00:00 EDT 2004 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.70.074510· OSTI ID:20705367

Takeda, S; Aoki, S; Iwasaki, Y; Kanaya, K ^[1]; Fukugita, M ^[2]; Ishikawa, K-I; Okawa, M ^[3]; Ishizuka, N; Kuramashi, Y; Taniguchi, Y; Ukawa, A; Yoshie, T ^[1]; Kaneko, T ^[4]

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1. Graduate School of Pure and Applied Sciences, University of Tsukuba, Tsukuba, 305-8571 (Japan)
2. Institute for Cosmic Ray Research, University of Tokyo, Kashiwa 277-8582 (Japan)
3. Department of Physics, Hiroshima University, Higashi-Hiroshima, Hiroshima 739-8526 (Japan)
4. High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0801 (Japan)

We study the scaling behavior of the step scaling function for SU(3) gauge theory, employing the renormalization-group improved Iwasaki gauge action and the perturbatively improved Luescher-Weisz gauge action. We confirm that the step scaling functions from the improved gauge actions agree with that previously obtained from the plaquette action within errors in the continuum limit at both weak and strong coupling regions. We also investigate how different choices of boundary counterterms for the improved gauge actions affect the scaling behavior. In the extrapolation to the continuum limit, we observe that the cutoff dependence becomes moderate for the Iwasaki action, if a perturbative reduction of scaling violations is applied to the simulation results. We also measure the low energy scale ratio with the Iwasaki action and confirm its universality.

• OSTI ID: 20705367
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 7 Vol. 70; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACTION INTEGRAL
COMPUTERIZED SIMULATION
COUPLING CONSTANTS
EXTRAPOLATION
GAUGE INVARIANCE
LATTICE FIELD THEORY
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
RENORMALIZATION
SU-3 GROUPS