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

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 Schrödinger 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.

References in corpus (4)

• The Unruh effect and its applications
• Casimir densities for a plate in de Sitter spacetime
• Applications of Lie systems in dissipative Milne--Pinney equations
• A Randall-Sundrum scenario with bulk dilaton and torsion