Generalized hedgehog ansatz and Gribov copies in regions with nontrivial topologies
Feb 5, 2013
13 pages
Published in:
- Phys.Rev.D 87 (2013) 045023
- Published: Feb 21, 2013
e-Print:
- 1302.1264 [hep-th]
View in:
Citations per year
Abstract: (APS)
In this paper the arising of Gribov copies both in Landau and Coulomb gauges in regions with nontrivial topologies but flat metric, (such as closed tubes S1×D2, or R×T2) will be analyzed. Using a novel generalization of the hedgehog ansatz beyond spherical symmetry, analytic examples of Gribov copies of the vacuum will be constructed. Using such ansatz, we will also construct the elliptic Gribov pendulum. The requirement of absence of Gribov copies of the vacuum satisfying the strong boundary conditions implies geometrical constraints on the shapes and sizes of the regions with nontrivial topologies.Note:
- 25 pages; Version accepted for publication on Physical Review D. New References included
- 11.15.Bt
- 04.62.+v
- 03.70.+k
- 11.10.-z
- symmetry: rotation
- Gribov problem
- topology
- boundary condition
- Coulomb gauge
References(46)
Figures(0)
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