Counting Gribov copies

Abstract

We show that an explicit counting of Gribov copies can shed light on the infrared behavior of non-abelian gauge theories. A power-law growth of the number of copies suppresses gluon propagation while the distribution of copies along a gauge orbit implies an enhanced density of small eigenvalues of the Fadeev-Popov operator. Both of these phenomena are related to confinement. The discreteness in the number of copies and the associated nonlocality also has implications for vacuum energy.

18 pages, 7 figures

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Cited by in corpus (9)

• A QCD analogy for quantum gravity
• Enumerating Gribov copies on the lattice
• Symmetry breaking, conformal geometry and gauge invariance
• Enumerating Copies in the First Gribov Region on the Lattice in up to four Dimensions
• A study of the zero modes of the Faddeev-Popov operator in Euclidean Yang-Mills theories in the Landau gauge in d=2,3,4 dimensions
• Mass gap without vacuum energy
• Soft asymptotics with mass gap
• Gauge Orbits and the Coulomb Potential
• Gribov copies and topological charge