Symmetry Transformation Parameters as Classical Dynamic Variables in the Gauge Theory
A modification of the gauge theory is proposed, in which the set of generalized coordinates is supplemented with symmetry transformation parameters, and the condition is additionally imposed on the latter, which ensures the classical character of their dynamics in quantum theory. As a result, additi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Peter the Great St.Petersburg Polytechnic University
2020-09-01
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| Series: | St. Petersburg Polytechnical University Journal: Physics and Mathematics |
| Subjects: | |
| Online Access: | https://physmath.spbstu.ru/article/2020.49.10/ |
| _version_ | 1818603037097197568 |
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| author | Gorobey Natalia Lukyanenko Alexander Goltsev Alexander |
| author_facet | Gorobey Natalia Lukyanenko Alexander Goltsev Alexander |
| author_sort | Gorobey Natalia |
| collection | DOAJ |
| description | A modification of the gauge theory is proposed, in which the set of generalized coordinates is supplemented with symmetry transformation parameters, and the condition is additionally imposed on the latter, which ensures the classical character of their dynamics in quantum theory. As a result, additional dynamic variables and transverse physical degrees of freedom in the Hamiltonian are separated. The classical theory of the Yang-Mills field is considered. |
| first_indexed | 2024-12-16T13:16:48Z |
| format | Article |
| id | doaj.art-e25fe0f728234a7684c313ebf5f085f7 |
| institution | Directory Open Access Journal |
| issn | 2405-7223 |
| language | English |
| last_indexed | 2024-12-16T13:16:48Z |
| publishDate | 2020-09-01 |
| publisher | Peter the Great St.Petersburg Polytechnic University |
| record_format | Article |
| series | St. Petersburg Polytechnical University Journal: Physics and Mathematics |
| spelling | doaj.art-e25fe0f728234a7684c313ebf5f085f72022-12-21T22:30:28ZengPeter the Great St.Petersburg Polytechnic UniversitySt. Petersburg Polytechnical University Journal: Physics and Mathematics2405-72232020-09-0113310.18721/JPM.1331020714726Symmetry Transformation Parameters as Classical Dynamic Variables in the Gauge TheoryGorobey Natalia0Lukyanenko Alexander1Goltsev Alexander2Peter the Great St. Petersburg Polytechnic UniversityPeter the Great St. Petersburg Polytechnic UniversityIoffe Physical-Technical InstituteA modification of the gauge theory is proposed, in which the set of generalized coordinates is supplemented with symmetry transformation parameters, and the condition is additionally imposed on the latter, which ensures the classical character of their dynamics in quantum theory. As a result, additional dynamic variables and transverse physical degrees of freedom in the Hamiltonian are separated. The classical theory of the Yang-Mills field is considered.https://physmath.spbstu.ru/article/2020.49.10/gauge theoryquantizationsymmetry transformation parametershamiltonian |
| spellingShingle | Gorobey Natalia Lukyanenko Alexander Goltsev Alexander Symmetry Transformation Parameters as Classical Dynamic Variables in the Gauge Theory St. Petersburg Polytechnical University Journal: Physics and Mathematics gauge theory quantization symmetry transformation parameters hamiltonian |
| title | Symmetry Transformation Parameters as Classical Dynamic Variables in the Gauge Theory |
| title_full | Symmetry Transformation Parameters as Classical Dynamic Variables in the Gauge Theory |
| title_fullStr | Symmetry Transformation Parameters as Classical Dynamic Variables in the Gauge Theory |
| title_full_unstemmed | Symmetry Transformation Parameters as Classical Dynamic Variables in the Gauge Theory |
| title_short | Symmetry Transformation Parameters as Classical Dynamic Variables in the Gauge Theory |
| title_sort | symmetry transformation parameters as classical dynamic variables in the gauge theory |
| topic | gauge theory quantization symmetry transformation parameters hamiltonian |
| url | https://physmath.spbstu.ru/article/2020.49.10/ |
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