### Abstract

The L^{2} 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) |
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Pages (from-to) | 291-299 |

Number of pages | 9 |

Journal | Communications in Mathematical Physics |

Volume | 138 |

Issue number | 2 |

DOIs | |

State | Published - May 1991 |

### Fingerprint

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics

### Cite this

*Communications in Mathematical Physics*,

*138*(2), 291-299. https://doi.org/10.1007/BF02099494

**Every gauge orbit passes inside the Gribov horizon.** / Dell'Antonio, Gianfausto; Zwanziger, Daniel.

Research output: Contribution to journal › Article

*Communications in Mathematical Physics*, vol. 138, no. 2, pp. 291-299. https://doi.org/10.1007/BF02099494

}

TY - JOUR

T1 - Every gauge orbit passes inside the Gribov horizon

AU - Dell'Antonio, Gianfausto

AU - Zwanziger, Daniel

PY - 1991/5

Y1 - 1991/5

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.

UR - http://www.scopus.com/inward/record.url?scp=0001554114&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001554114&partnerID=8YFLogxK

U2 - 10.1007/BF02099494

DO - 10.1007/BF02099494

M3 - Article

AN - SCOPUS:0001554114

VL - 138

SP - 291

EP - 299

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 2

ER -