Every gauge orbit passes inside the Gribov horizon

Gianfausto Dell'Antonio; Daniel Zwanziger

doi:10.1007/BF02099494

Every gauge orbit passes inside the Gribov horizon

Gianfausto Dell'Antonio, Daniel Zwanziger

Research output: Contribution to journal › Article › peer-review

Abstract

The L² topology is introduced on the space of gauge connections A and a natural topology is introduced on the group of local gauge transformations GT. It is shown that the mapping GT×A→A defined by A→A^g=g^*Ag+g^*dg is continuous and that each gauge orbit is closed. The Hilbert norm of the gauge connection achieves its absolute minimum on each gauge orbit, at which point the orbit intersects the region bounded by the Gribov horizon.

Original language	English (US)
Pages (from-to)	291-299
Number of pages	9
Journal	Communications In Mathematical Physics
Volume	138
Issue number	2
DOIs	https://doi.org/10.1007/BF02099494
State	Published - May 1991

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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title = "Every gauge orbit passes inside the Gribov horizon",

abstract = "The L2 topology is introduced on the space of gauge connections A and a natural topology is introduced on the group of local gauge transformations GT. It is shown that the mapping GT×A→A defined by A→Ag=g*Ag+g*dg is continuous and that each gauge orbit is closed. The Hilbert norm of the gauge connection achieves its absolute minimum on each gauge orbit, at which point the orbit intersects the region bounded by the Gribov horizon.",

author = "Gianfausto Dell'Antonio and Daniel Zwanziger",

year = "1991",

month = may,

doi = "10.1007/BF02099494",

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AU - Zwanziger, Daniel

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N2 - The L2 topology is introduced on the space of gauge connections A and a natural topology is introduced on the group of local gauge transformations GT. It is shown that the mapping GT×A→A defined by A→Ag=g*Ag+g*dg is continuous and that each gauge orbit is closed. The Hilbert norm of the gauge connection achieves its absolute minimum on each gauge orbit, at which point the orbit intersects the region bounded by the Gribov horizon.

AB - The L2 topology is introduced on the space of gauge connections A and a natural topology is introduced on the group of local gauge transformations GT. It is shown that the mapping GT×A→A defined by A→Ag=g*Ag+g*dg is continuous and that each gauge orbit is closed. The Hilbert norm of the gauge connection achieves its absolute minimum on each gauge orbit, at which point the orbit intersects the region bounded by the Gribov horizon.

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Every gauge orbit passes inside the Gribov horizon

Abstract

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