TL;DR
This paper introduces a dynamical gauge fixing method using quantum invariants in the generalized Gupta-Bleuler framework, demonstrating its effectiveness in a solvable model without encountering Gribov copies.
Contribution
It presents a novel dynamical approach to gauge fixing that avoids Gribov ambiguities by defining physical states as null eigenstates of quantum invariants.
Findings
No Gribov copies appear in the model
The method successfully applies to a solvable gauge theory
Physical states are characterized by quantum invariants
Abstract
We study gauge fixing in the generalized Gupta-Bleuler quantization. In this method physical states are defined to be simultaneous null eigenstates of a set of quantum invariants. We apply the method to a solvable model proposed by Friedberg, Lee, Pang and Ren and show that no Gribov-type copies appears by construction.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Quantum Chromodynamics and Particle Interactions · Laser-Matter Interactions and Applications