Coherent States in Gauge Theories: Topological Defects and Other Classical Configurations
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866908402688458752 |
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| author | Berezhiani, Lasha Dvali, Gia Sakhelashvili, Otari |
| author_facet | Berezhiani, Lasha Dvali, Gia Sakhelashvili, Otari |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_11657 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Coherent States in Gauge Theories: Topological Defects and Other Classical Configurations Berezhiani, Lasha Dvali, Gia Sakhelashvili, Otari High Energy Physics - Theory Quantum Physics 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. |
| title | Coherent States in Gauge Theories: Topological Defects and Other Classical Configurations |
| topic | High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2411.11657 |