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.

20+1 pages

References in corpus (10)

• Black Hole Formation and Classicalization in Ultra-Planckian 2 -> N Scattering
• Can infrared gravitons screen $\Lambda$?
• Glimpses of black hole formation/evaporation in highly inelastic, ultra-planckian string collisions
• Dressed states from gauge invariance
• Localization of Gauge Fields and Monopole Tunnelling
• On Corpuscular Theory of Inflation
• On Evolution of Coherent States as Quantum Counterpart of Classical Dynamics
• Perturbative Understanding of Non-Perturbative Processes and Quantumization versus Classicalization
• Background Field Method and Initial-Time Singularity for Coherent States
• Dress code for infrared safe scattering in QED

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