Spectral sum for the color-Coulomb potential in SU(3) Coulomb gauge lattice Yang-Mills theory
- Research Institute for Information Science and Education, Hiroshima University, Higashi-Hiroshima, Hiroshima, 739-8521 (Japan)
- Integrated Information Center, Kochi University, Kochi, 780-8520 (Japan)
- 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, Vol. 81, Issue 5; Other Information: DOI: 10.1103/PhysRevD.81.054509; (c) 2010 The American Physical Society; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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COMPOSITE MODELS
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EXTENDED PARTICLE MODEL
FIELD THEORIES
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MATHEMATICAL MODELS
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