Periodic charge oscillations in the Proca theory
We consider the Proca theory of the real massive vector field. There is a locally conserved 4-current operator in such a theory, which one may use to define the charge operator. Accordingly, there are charged states in which the expectation value of the charge operator is non-zero. We take a close l...
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| Format: | Article |
| Language: | English |
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Elsevier
2023-09-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321323002298 |
| _version_ | 1827860257977663488 |
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| author | Bogdan Damski |
| author_facet | Bogdan Damski |
| author_sort | Bogdan Damski |
| collection | DOAJ |
| description | We consider the Proca theory of the real massive vector field. There is a locally conserved 4-current operator in such a theory, which one may use to define the charge operator. Accordingly, there are charged states in which the expectation value of the charge operator is non-zero. We take a close look at the charge operator and study the dynamics of the certain class of charged states. For this purpose, we discuss the mean electric field and 4-current in such states. The mean electric field has the periodically oscillating Coulomb component, whose presence explains the periodic charge oscillations. A complementary insight at such a phenomenon is provided by the mean 4-current, whose discussion leads to the identification of a certain paradox. Last but not least, we show that there is a shock wave propagating in the studied system, which affects analyticity of the mean electric field and 4-current. |
| first_indexed | 2024-03-12T13:20:42Z |
| format | Article |
| id | doaj.art-b2d25cba02aa4836a4dc3aed1abe077f |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-03-12T13:20:42Z |
| publishDate | 2023-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-b2d25cba02aa4836a4dc3aed1abe077f2023-08-26T04:42:41ZengElsevierNuclear Physics B0550-32132023-09-01994116300Periodic charge oscillations in the Proca theoryBogdan Damski0Jagiellonian University, Faculty of Physics, Astronomy and Applied Computer Science, Łojasiewicza 11, 30-348 Kraków, PolandWe consider the Proca theory of the real massive vector field. There is a locally conserved 4-current operator in such a theory, which one may use to define the charge operator. Accordingly, there are charged states in which the expectation value of the charge operator is non-zero. We take a close look at the charge operator and study the dynamics of the certain class of charged states. For this purpose, we discuss the mean electric field and 4-current in such states. The mean electric field has the periodically oscillating Coulomb component, whose presence explains the periodic charge oscillations. A complementary insight at such a phenomenon is provided by the mean 4-current, whose discussion leads to the identification of a certain paradox. Last but not least, we show that there is a shock wave propagating in the studied system, which affects analyticity of the mean electric field and 4-current.http://www.sciencedirect.com/science/article/pii/S0550321323002298 |
| spellingShingle | Bogdan Damski Periodic charge oscillations in the Proca theory Nuclear Physics B |
| title | Periodic charge oscillations in the Proca theory |
| title_full | Periodic charge oscillations in the Proca theory |
| title_fullStr | Periodic charge oscillations in the Proca theory |
| title_full_unstemmed | Periodic charge oscillations in the Proca theory |
| title_short | Periodic charge oscillations in the Proca theory |
| title_sort | periodic charge oscillations in the proca theory |
| url | http://www.sciencedirect.com/science/article/pii/S0550321323002298 |
| work_keys_str_mv | AT bogdandamski periodicchargeoscillationsintheprocatheory |