The Proca-field in Loop Quantum Gravity
General Relativity and Quantum Cosmology
2008-11-26 v4
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.
Cite
@article{arxiv.gr-qc/0605048,
title = {The Proca-field in Loop Quantum Gravity},
author = {Gabor Helesfai},
journal= {arXiv preprint arXiv:gr-qc/0605048},
year = {2008}
}
Comments
15 pages. v2: 19 pages, amended sections 2 and 6, references added v3: 20 pages, amended section 6 and minor corrections