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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.
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]
Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Quantum field theory on 1 + 3-de Sitter space: annihilation and creation operators.
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  Data: <searchLink fieldCode="DE" term="%22Quantum+field+theory%22">Quantum field theory</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+operators%22">Quantum operators</searchLink><br /><searchLink fieldCode="DE" term="%22Lorentz+transformations%22">Lorentz transformations</searchLink><br /><searchLink fieldCode="DE" term="%22Curved+spacetime%22">Curved spacetime</searchLink><br /><searchLink fieldCode="DE" term="%22Particle+physics%22">Particle physics</searchLink><br /><searchLink fieldCode="DE" term="%22Quantization+methods+%28Quantum+mechanics%29%22">Quantization methods (Quantum mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Hilbert+space%22">Hilbert space</searchLink><br /><searchLink fieldCode="DE" term="%22Operator+functions%22">Operator functions</searchLink>
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  Data: 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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  Data: <i>Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1140/epjc/s10052-025-14652-6
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      – Code: eng
        Text: English
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      – SubjectFull: Quantum field theory
        Type: general
      – SubjectFull: Quantum operators
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      – SubjectFull: Lorentz transformations
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      – SubjectFull: Curved spacetime
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      – SubjectFull: Particle physics
        Type: general
      – SubjectFull: Quantization methods (Quantum mechanics)
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      – SubjectFull: Hilbert space
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      – SubjectFull: Operator functions
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      – TitleFull: Quantum field theory on 1 + 3-de Sitter space: annihilation and creation operators.
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              Text: Aug2025
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              Y: 2025
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