Coherent States in Gauge Theories: Topological Defects and Other Classical Configurations

Abstract

We present a formulation of coherent states as of consistent quantum description of classical configurations in the BRST-invariant quantization of electrodynamics. The quantization with proper gauge-fixing is performed on the vacuum of the theory, whereas other backgrounds are obtained as BRST-invariant coherent states. One of the key insights is the possibility of constructing the coherent states of pure-gauge configurations. This provides a coherent state understanding of topologically non-trivial configurations in gauge theories, and makes number of features, such as the suppression of transitions between topologically-distinct sectors, very transparent at full quantum level. As an example, we construct the Nielsen-Olesen string as a BRST-invariant coherent state. The Abelian pure-gauge configurations can also be viewed as useful analogs for a set of space-times related by coordinate reparameterizations in General Relativity.

arXiv comment20+1 pages

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Cited by in corpus (3)

• ${\eta }_{\mathrm{w}}$-meson from topological properties of the electroweak vacuum
• Similarities in the evaporation of saturated solitons and black holes
• Consistent Canonical Quantization of Gravity: Recovery of Classical GR from BRST-invariant Coherent States