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A classical mechanical model of two interacting massless particles in de Sitter space and its quantization
- Source :
- Physics Letters, Physics Letters B, Vol 820, Iss, Pp 136520-(2021)
- Publication Year :
- 2021
- Publisher :
- Elsevier, 2021.
-
Abstract
- A conformally invariant model of two interacting massless particles in Minkowski space was proposed by Casalbuoni and Gomis [1]. We generalize this model to the case of de Sitter space from the perspective of geodesic distance, in such a way that the resulting, generalized action reduces to the original action in a limit that de Sitter radius goes to infinity. We analyze the Hamiltonian formulation in accordance with Dirac's prescription for constrained Hamiltonian systems and carry out its subsequent canonical quantization in coordinate representation following DeWitt. As the result, we derive a fourth-order differential wave equation for bilocal fields that, in the infinite radius limit, reproduces one obtained in the original model for Minkowski space case.<br />7pages, main result and overall exposition significantly improved, title changed, references added, version to be published in PLB
- Subjects :
- High Energy Physics - Theory
Physics
Nuclear and High Energy Physics
Geodesic
De Sitter space
Canonical quantization
QC1-999
FOS: Physical sciences
Action (physics)
General Relativity and Quantum Cosmology
Quantization (physics)
High Energy Physics - Theory (hep-th)
De Sitter universe
Minkowski space
Hamiltonian (control theory)
Mathematical physics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Physics Letters
- Accession number :
- edsair.doi.dedup.....a7af25426513912ee228b373f4ee555b