Quantum field theory on 1 + 3-de Sitter space: annihilation and creation operators.
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| Title: | Quantum field theory on 1 + 3-de Sitter space: annihilation and creation operators. |
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| Authors: | Rabeie, A.1 (AUTHOR) rabeie@razi.ac.ir |
| Source: | European Physical Journal C -- Particles & Fields. Aug2025, Vol. 85 Issue 8, p1-8. 8p. |
| Subjects: | Quantum field theory, Quantum operators, Lorentz transformations, Curved spacetime, Particle physics, Quantization methods (Quantum mechanics), Hilbert space, Operator functions |
| 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 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. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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| 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 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. [ABSTRACT FROM AUTHOR] |
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| ISSN: | 14346044 |
| DOI: | 10.1140/epjc/s10052-025-14652-6 |
