A classical mechanical model of two interacting massless particles in de Sitter space and its quantization

Autor: Naohiro Kanda, Satoshi Okano
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Physics Letters B, Vol 820, Iss , Pp 136520- (2021)
Druh dokumentu: article
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2021.136520
Popis: 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.
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