https://doi.org/10.1140/epjc/s10052-025-14652-6
Regular Article - Theoretical Physics
Quantum field theory on 1 + 3-de Sitter space: annihilation and creation operators
Department of Physics, Razi University, Kermanshah, Iran
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Received:
24
July
2025
Accepted:
14
August
2025
Published online:
29
August
2025
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 
. 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.
© The Author(s) 2025
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