Gribov ambiguity without topological charge

1979/09/15 by Frank S. Henyey · 1 voice · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · doi:10.1103/physrevd.20.1460

openalex publication_date 1979/09/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Examples of gauge transform pairs of fields \stackrel\ensuremath→A(x), \stackrel\ensuremath→A^\ensuremath'(x) in non-Abelian gauge theories are constructed in which (1) both are in the Coulomb gauge, (2) both have zero topological charge, (3) both fall faster than (1)/(r) at large r, and therefore occur in the compactified theory. These examples illustrate the fact that the Gribov ambiguity encompasses a larger variety of phenomena than those described by instantons.

Cited by

• Gauge fixing and BRST formalism in non-Abelian gauge theories

Discussions

• Found a partial answer regarding question 3. As shown by Henyey in Gribov ambiguity without topological charge , one can have Gribov ambiguities even if we restrict ourselves to small gauge transforma [stackexchange, 1 points]

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