Quantized $p$-form Gauge Field in D-dimensional de Sitter Spacetime

Abstract

In this work, we utilize the dynamic invariant method to obtain a solution for the time-dependent Schrödinger equation, aiming to explore the quantum theory of a $p$-form gauge field propagating in $D$-dimensional de Sitter spacetimes. Thus, we present a generalization, through the use of $p$-form gauge fields, of the quantization procedure for the scalar, electromagnetic, and Kalb-Ramond fields, all of which have been previously studied in the literature. We present an exact solution for the $p$-form gauge field when $D=2(p+1)$, and we highlight the connection of the $p=4$ case with the chiral $N=2$, $D=10$ superstring model. We could observe particle production for $D\ne 2(p+1)$ because the solutions are time-dependent. Additionally, observers in an accelerated co-moving reference frame will also experience a thermal bath. This could have significance in the realm of extra-dimensional physics and presents the intriguing prospect that precise observations of the Cosmic Microwave Background might confirm the presence of additional dimensions.

References in corpus (5)

• The Confrontation between General Relativity and Experiment
• Cosmological constant, brane tension and large hierarchy in a generalized Randall-Sundrum braneworld scenario
• Applications of Lie systems in dissipative Milne--Pinney equations
• Wave correlations and quantum noise in cosmology
• Quantum Kalb-Ramond Field in D-dimensional de Sitter Spacetimes