Position and momentum operators for a moving particle in bulk
Abstract In this paper we explore how to describe a bulk moving particle in the dual conformal field theories (CFTs). One aspect of this problem is to construct the dual state of the moving particle. On the other hand one should find the corresponding operators associated with the particle. The dyna...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-11-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-022-10936-3 |
| _version_ | 1811233708842156032 |
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| author | Wu-zhong Guo |
| author_facet | Wu-zhong Guo |
| author_sort | Wu-zhong Guo |
| collection | DOAJ |
| description | Abstract In this paper we explore how to describe a bulk moving particle in the dual conformal field theories (CFTs). One aspect of this problem is to construct the dual state of the moving particle. On the other hand one should find the corresponding operators associated with the particle. The dynamics of the particle, i.e., the geodesic equation, can be formulated as a Hamiltonian system with canonical variables. The achievements of our paper are to construct the dual CFT states and the operators corresponding to the canonical variables. The expectation values of the operators give the expected solutions of the geodesic line, and the quantum commutators reduce to the classical Poisson brackets to leading order in the bulk gravitational coupling. Our work provides a framework to understand the geodesic equation, that is gravitational attraction, in the dual CFTs. |
| first_indexed | 2024-04-12T11:25:20Z |
| format | Article |
| id | doaj.art-4bbfeb20a5e44f91ae864678da2956e1 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-12T11:25:20Z |
| publishDate | 2022-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-4bbfeb20a5e44f91ae864678da2956e12022-12-22T03:35:15ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-11-01821111410.1140/epjc/s10052-022-10936-3Position and momentum operators for a moving particle in bulkWu-zhong Guo0School of Physics, Huazhong University of Science and TechnologyAbstract In this paper we explore how to describe a bulk moving particle in the dual conformal field theories (CFTs). One aspect of this problem is to construct the dual state of the moving particle. On the other hand one should find the corresponding operators associated with the particle. The dynamics of the particle, i.e., the geodesic equation, can be formulated as a Hamiltonian system with canonical variables. The achievements of our paper are to construct the dual CFT states and the operators corresponding to the canonical variables. The expectation values of the operators give the expected solutions of the geodesic line, and the quantum commutators reduce to the classical Poisson brackets to leading order in the bulk gravitational coupling. Our work provides a framework to understand the geodesic equation, that is gravitational attraction, in the dual CFTs.https://doi.org/10.1140/epjc/s10052-022-10936-3 |
| spellingShingle | Wu-zhong Guo Position and momentum operators for a moving particle in bulk European Physical Journal C: Particles and Fields |
| title | Position and momentum operators for a moving particle in bulk |
| title_full | Position and momentum operators for a moving particle in bulk |
| title_fullStr | Position and momentum operators for a moving particle in bulk |
| title_full_unstemmed | Position and momentum operators for a moving particle in bulk |
| title_short | Position and momentum operators for a moving particle in bulk |
| title_sort | position and momentum operators for a moving particle in bulk |
| url | https://doi.org/10.1140/epjc/s10052-022-10936-3 |
| work_keys_str_mv | AT wuzhongguo positionandmomentumoperatorsforamovingparticleinbulk |