Communications in Mathematical Physics

, Volume 138, Issue 2, pp 291–299 | Cite as

Every gauge orbit passes inside the Gribov horizon

  • Gianfausto Dell'Antonio
  • Daniel Zwanziger
Article

Abstract

TheL2 topology is introduced on the space of gauge connectionsA and a natural topology is introduced on the group of local gauge transformationsGT. It is shown that the mappingGT×A→A defined byA→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.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    Dell'Antonio, G., Zwanziger, D.: Nucl. Phys. B326, 333 (1989)Google Scholar
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    Dell'Antonio, G., Zwanziger, D.: Proceedings of the NATO Advanced Research Workshop on Probabilistic Methods in Quantum Field Theory and Quantum Gravity, Cargèse, August 21–27, 1989, Damgaard and Hueffel (eds.), p. 107. New York: Plenum PressGoogle Scholar
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    A Euclidean functional integral based on this region has been proposed recently. Zwanziger, D. (ed.). Nucl. Phys. B345, 461 (1990)Google Scholar
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    See for example Reed, M., Simon, B.: Methods of modern mathematical physics, vol. IV, p. 257, Theorem XIII.75Google Scholar

Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • Gianfausto Dell'Antonio
    • 1
  • Daniel Zwanziger
    • 2
  1. 1.Dipartimento di MatematicaUniversità di Roma La SapienzaRomaItaly
  2. 2.Physics DepartmentNew York UniversityNew YorkUSA

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