Coulomb-gauge ghost and gluon propagators in SU(3) lattice Yang-Mills theory

Journal Article · Mon Jun 01 00:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.114504· OSTI ID:21300871

Nakagawa, Y; Toki, H ^[1]; Voigt, A ^[2]; Ilgenfritz, E -M ^[2]; Mueller-Preussker, M ^[2]; Nakamura, A ^[3]; Saito, T ^[4]; Sternbeck, A ^[5]

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1. Research Center for Nuclear Physics, Osaka University, Ibaraki-shi, Osaka 567-0047 (Japan)
2. Humboldt-Universitaet zu Berlin, Institut fuer Physik, D-12489 Berlin (Germany)
3. Research Institute for Information Science and Education, Hiroshima University, Higashi-Hiroshima 739-8521 (Japan)
4. Integrated Information Center, Kochi University, Akebono-cho, Kochi 780-8520 (Japan)
5. CSSM, School of Chemistry and Physics, University of Adelaide, SA 5005 (Australia)

We study the momentum dependence of the ghost propagator and of the space and time components of the gluon propagator at equal time in pure SU(3) lattice Coulomb-gauge theory carrying out a joint analysis of data collected independently at the Research Center for Nuclear Physics, Osaka and Humboldt University, Berlin. We focus on the scaling behavior of these propagators at {beta}=5.8,...,6.2 and apply a matching technique to relate the data for the different lattice cutoffs. Thereby, lattice artifacts are found to be rather strong for both instantaneous gluon propagators at a large momentum. As a byproduct we obtain the respective lattice scale dependences a({beta}) for the transversal gluon and the ghost propagator which indeed run faster with {beta} than two-loop running, but slightly slower than what is known from the Necco-Sommer analysis of the heavy quark potential. The abnormal a({beta}) dependence as determined from the instantaneous time-time gluon propagator, D{sub 44}, remains a problem, though. The role of residual gauge-fixing influencing D{sub 44} is discussed.

• OSTI ID: 21300871
• Journal Information: Physical Review. D, Particles Fields, Vol. 79, Issue 11; Other Information: DOI: 10.1103/PhysRevD.79.114504; (c) 2009 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
B QUARKS
C QUARKS
DATA ANALYSIS
GAUGE INVARIANCE
GLUONS
LATTICE FIELD THEORY
NUCLEAR PHYSICS
PROPAGATOR
SCALING
SPACE
SU-3 GROUPS
T QUARKS
YANG-MILLS THEORY