Abstract
In this work, we investigate the quantum theory of the Kalb-Ramond
fields propagating in D-dimensional de Sitter space-times using the
dynamic invariant method developed by Lewis and Riesenfeld J. Math.
Phys. 10, 1458 (1969) to obtain the solution of the time-dependent
Schrodinger equation. The wave function is written in terms of a
c-number quantity satisfying 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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