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Partially Gauge Invariant Field Configurations and the Gribov Horizon inSU(2) Gauge Field Theory

✍ Scribed by Haruichi Yabuki

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 254 KB
Volume: 252
Category: Article
ISSN: 0003-4916
DOI: 10.1006/aphy.1996.0139

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✦ Synopsis

A parametric representation for the gauge fields invariant under a gauge transformation is presented in the case of the pure SU(2) gauge field theory. This class of gauge fields constitutes the Gribov horizon on a gauge-fixing surface. A special gauge in (1+2) dimensions is proposed, in which the Gribov horizon is representable in a simple, analytical form, and the Faddeev Popov determinant is explicitly calculable. A possible new mechanism to generate a non-zero vacuum expectation value for the gauge field strength is suggested.

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