The Proca field in loop quantum gravity

DOI10.1088/0264-9381/24/11/006zbMATH Open1117.83048arXivgr-qc/0605048OpenAlexW2117630711MaRDI QIDQ5291890

G. Helesfai

Publication date: 19 June 2007

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Abstract: In this paper we investigate the Proca-field in the framework of Loop Quantum Gravity. It turns out that the methods developed there can be applied to the symplectically embedded Proca-field, giving a rigorous, consistent, non-perturbative quantization of the theory. This can be achieved by introducing a scalar field, which has completely different properties than the one used in spontaneous symmetry breaking. The analysis of the kernel of the Hamiltonian suggests that the mass term in the quantum theory has a different role than in the classical theory.

Full work available at URL: https://arxiv.org/abs/gr-qc/0605048

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05)

Related Items (3)

A systematic procedure to build the beyond generalized Proca field theory ⋮ Gravitational properties of the Proca field ⋮ Proca effect in Reissner-Nordström de Sitter metric

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