Symplectic quantization of multi-field Generalized Proca electrodynamics
Autor: | Díez, Verónica Errasti, Marinkovic, Marina Krstic |
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Rok vydání: | 2021 |
Předmět: | |
Zdroj: | Phys. Rev. D 105, 105022 (2022) |
Druh dokumentu: | Working Paper |
DOI: | 10.1103/PhysRevD.105.105022 |
Popis: | We explicitly carry out the symplectic quantization of a family of multi-field Generalized Proca (GP) electrodynamics theories. In the process, we provide an independent derivation of the so-called secondary constraint enforcing relations -- consistency conditions that significantly restrict the allowed interactions in multi-field settings already at the classical level. Additionally, we unveil the existence of quantum consistency conditions, which apply in both single- and multi-field GP scenarios. Our newly found conditions imply that not all classically well-defined (multi-)GP theories are amenable to quantization. The extension of our results to the most general multi-GP class is conceptually straightforward, albeit algebraically cumbersome. Comment: 22 pages, 1 table. v2: Introduction extended, references added, minor rewriting; journal version; 23 pages, 1 table |
Databáze: | arXiv |
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