Year: 2025
Type: article
Abstract: In this paper, we construct the annihilation and creation operators for massive scalar particles in 1 + 3 dimensional de Sitter space using Berezin’s integral quantization method. We begin by demonstrating that the phase space of a massive scalar particle in this curved spacetime is isomorphic to the complex four-dimensional sphere $$S_{\mathcal {C}}^3$$ S C 3 . Each point on this complex sphere is associated with a vector (or coherent state) in a corresponding Hilbert subspace. We emphasize the intrinsically four-dimensional nature of the annihilation and creation operators and examine their connection to the infinitesimal generators of time translations and Lorentz boosts.
Source: The European Physical Journal C
Author: A. Rabeie
Institution: Razi University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4413833726