Spectral sum for the color-Coulomb potential in SU(3) Coulomb gauge lattice Yang-Mills theory

Journal Article · Mon Mar 01 04:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.054509· OSTI ID:21409877

Nakagawa, Y; Nakamura, A ^[1]; Saito, T ^[2]; Toki, H ^[3]

---

1. Research Institute for Information Science and Education, Hiroshima University, Higashi-Hiroshima, Hiroshima, 739-8521 (Japan)
2. Integrated Information Center, Kochi University, Kochi, 780-8520 (Japan)
3. Research Center for Nuclear Physics, Osaka University, Ibaraki, Osaka, 567-0047 (Japan)

We discuss the essential role of the low-lying eigenmodes of the Faddeev-Popov (FP) ghost operator on the confining color-Coulomb potential using SU(3) quenched lattice simulations in the Coulomb gauge. The color-Coulomb potential is expressed as a spectral sum of the FP ghost operator and has been explored by partially summing the FP eigenmodes. We take into account the Gribov copy effects that have a great impact on the FP eigenvalues and the color-Coulomb potential. We observe that the lowest eigenvalue vanishes in the thermodynamic limit much faster than that in the Landau gauge. The color-Coulomb potential at large distances is governed by the near-zero FP eigenmodes; in particular, the lowest one accounts for a substantial portion of the color-Coulomb string tension comparable to the Wilson string tension.

• OSTI ID: 21409877
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 5 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COLOR MODEL
COMPOSITE MODELS
COMPUTERIZED SIMULATION
CONSTRUCTIVE FIELD THEORY
COULOMB FIELD
EIGENVALUES
ELECTRIC FIELDS
EXTENDED PARTICLE MODEL
FIELD THEORIES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
QUANTUM FIELD THEORY
QUARK MODEL
SIMULATION
STRING MODELS
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
YANG-MILLS THEORY