Symplectic quantization of multi-field Generalized Proca electrodynamics

• URL: http://arxiv.org/abs/2112.11477v2
• Date: Wed, 25 May 2022 17:56:11 GMT
• Title: Symplectic quantization of multi-field Generalized Proca electrodynamics
• Authors: Ver\'onica Errasti D\'iez and Marina Krstic Marinkovic
• Abstract summary: We explicitly carry out the symplectic quantization of a family of multi-field Generalized Proca (GP) electrodynamics theories. We provide an independent derivation of the so-called secondary constraint enforcing relations. We unveil the existence of quantum consistency conditions, which apply in both single- and multi-field GP scenarios.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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