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arXiv · 1208.5444

Quantum Kalb-Ramond Field in D-dimensional de Sitter Spacetimes

G. Alencar·I. Guedes·R. R. Landim·R. N. Costa Filho
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Abstract

In this work we investigate the quantum theory of the Kalb-Ramond fields propagating in $D-$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 $c-$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.

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G. Alencar, I. Guedes, R. R. Landim, R. N. Costa Filho. 2012-08-27. Quantum Kalb-Ramond Field in D-dimensional de Sitter Spacetimes. https://doi.org/10.1142/s0217751x13500115

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