Avoiding the Gribov problem by dynamical gauge fixing

Journal Article · Sun Aug 15 00:00:00 EDT 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.48.1792· OSTI ID:6327450

Scholtz, F G; Tupper, G B ^[1]

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1. Institute of Theoretical Physics, University of Stellenbosch, 7600 Stellenbosch (South Africa)

We present a method to quantize SU([ital N]) gauge theories which does not use gauge fixing, and therefore circumvents the problematics around gauge fixing and Gribov copying. The method is illustrated in the Abelian theory where no Gribov ambiguity is present, and it is shown to be equivalent to Landau gauge fixing in this case. It is shown that there are fundamental differences between Abelian and non-Abelian theories. These differences imply that in Abelian theories the gauge particle must be massless, but this is not necessarily true in non-Abelian theories.

• OSTI ID: 6327450
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 48:4; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
UNIFIED GAUGE MODELS
QUANTIZATION
BOUNDARY CONDITIONS
DEGREES OF FREEDOM
PERTURBATION THEORY
POTENTIALS
PROPAGATOR
SU GROUPS
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
SYMMETRY GROUPS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)