Quantum Kalb-Ramond Field in D-dimensional de Sitter Spacetimes
High Energy Physics - Theory
2013-03-21 v2 General Relativity and Quantum Cosmology
Abstract
In this work we investigate the quantum theory of the Kalb-Ramond fields propagating in dimensional de Sitter spacetimes using the dynamic invariant method developed by Lewis and Riesenfeld [J. Math. Phys. 10, 1458 (1969)] to obtain the solution of the time-dependent Schr\"odinger equation. The wave function is written in terms of a number quantity satisfying of the Milne-Pinney equation, whose solution can be expressed in terms of two independent solutions of the respective equation of motion. We obtain the exact solution for the quantum Kalb-Ramond field in the de Sitter background and discuss its relation with the Cremmer-Scherk-Kalb-Ramond model.
Keywords
Cite
@article{arxiv.1208.5444,
title = {Quantum Kalb-Ramond Field in D-dimensional de Sitter Spacetimes},
author = {G. Alencar and I. Guedes and R. R. Landim and R. N. Costa Filho},
journal= {arXiv preprint arXiv:1208.5444},
year = {2013}
}