The Gribov horizon
- 15 July 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 30 (2) , 447-454
- https://doi.org/10.1103/physrevd.30.447
Abstract
Properties of the Coulomb-gauge Gribov horizon are discussed. In a non-Abelian gauge model, transverse field amplitudes must lie in the region bounded by the horizon. Natural enforcement of this restriction is provided by the Coulomb energy associated with color-charge fluctuations. To isolate the most important color-charge terms at the horizon and investigate their influence on quantum eigenstates, a simple nonlinear transformation is introduced which removes the horizon to infinity. The results of some numerical calculations on the shape of the horizon are also reported.Keywords
This publication has 10 references indexed in Scilit:
- Harmonic functions and matrix elements for hyperspherical quantum field modelsJournal of Mathematical Physics, 1984
- Faddeev-Popov Zeros and Confinement of Color in a Hyperspherical Gauge Model.Physical Review Letters, 1983
- Faddeev-Popov Zeros and Confinement of Color in a Hyperspherical Gauge ModelPhysical Review Letters, 1983
- Non-perturbative modification of the Faddeev-Popov formula and banishment of the naive vacuumNuclear Physics B, 1982
- Non-perturbative modification of the Faddeev-Popov formulaPhysics Letters B, 1982
- Gribov ambiguities from the bifurcation theory viewpointJournal of Mathematical Physics, 1982
- Gribov degeneracies: Coulomb gauge conditions and initial value constraintsJournal of Mathematical Physics, 1979
- Quantization of non-Abelian gauge theoriesNuclear Physics B, 1978
- Coulomb gauge description of large Yang-Mills fieldsPhysical Review D, 1978
- Some remarks on the Gribov ambiguityCommunications in Mathematical Physics, 1978