Symplectic quantization of multi-field Generalized Proca electrodynamics
Abstract
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.
Cite
@article{arxiv.2112.11477,
title = {Symplectic quantization of multi-field Generalized Proca electrodynamics},
author = {Verónica Errasti Díez and Marina Krstic Marinkovic},
journal= {arXiv preprint arXiv:2112.11477},
year = {2022}
}
Comments
22 pages, 1 table. v2: Introduction extended, references added, minor rewriting; journal version; 23 pages, 1 table