Symplectic quantization of multi-field Generalized Proca electrodynamics

Autor: Díez, Verónica Errasti, Marinkovic, Marina Krstic
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