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

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

Lasha Berezhiani
(
- Garching, Max Planck Inst. and
- Munich U., ASC
)
,
Gia Dvali
(
- Garching, Max Planck Inst. and
- Munich U., ASC
)
,
Otari Sakhelashvili
(
- U. Sydney (main)
)

Nov 18, 2024

21 pages

e-Print:

2411.11657 [hep-th]

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Abstract: (arXiv)

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.

Note:

20+1 pages

References(40)

Figures(0)

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