Quantum Kalb-Ramond Field in D-dimensional de Sitter Spacetimes
G. Alencar, I. Guedes, R. R. Landim, R. N. Costa Filho
TL;DR
This paper develops an exact quantum solution for the Kalb-Ramond field in D-dimensional de Sitter spacetime using the Lewis-Riesenfeld invariant method, linking it to the Cremmer-Scherk-Kalb-Ramond model.
Contribution
It applies the dynamic invariant method to derive exact solutions for the quantum Kalb-Ramond field in curved spacetime, extending previous approaches to higher dimensions.
Findings
Exact quantum wave function obtained for the Kalb-Ramond field in de Sitter space
Solution expressed via Milne-Pinney equation and related to classical solutions
Connection established between quantum solutions and the Cremmer-Scherk-Kalb-Ramond model
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.
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