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Symmetry, Integrability and Geometry: Methods and Applications, 2019, Volume 15, 060, 22 pp.
DOI: https://doi.org/10.3842/SIGMA.2019.060 (Mi sigma1496) 		 
Wavepackets on de Sitter Spacetime

João C. A. Barataa, Marcos Brumba

a Instituto de Física, Universidade de São Paulo, Rua do Matão 1371, São Paulo, 05508-090, Brasil
b Departamento de Matemática, Universidade Federal do Rio de Janeiro, Campus Duque de Caxias, Rodovia Washington Luiz Km 104,5, Duque de Caxias, 25265-970, Brazil
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DOI: https://doi.org/10.3842/SIGMA.2019.060
Abstract: We construct wavepackets on de Sitter spacetime, with masses consistently defined from the eigenvalues of an irreducible representation of a Casimir element in the universal enveloping algebra of the Lorentz algebra and analyse their asymptotic behaviour. Furthermore, we show that, in the limit as the de Sitter radius tends to infinity, the wavepackets tend to the wavepackets of Minkowski spacetime and the plane waves arising after contraction have support sharply located on the mass shell.
Keywords: quantum field theory on de Sitter spacetime, Haag–Ruelle scattering theory, theory of group representations, algebraic quantum field theory.
Funding agency Grant number
Fundação de Amparo à Pesquisa do Estado de São Paulo 2015/02975-4
MB received financial support from the São Paulo Research Foundation (FAPESP) under grant #2015/02975-4 during the preparation of this work.
Received: April 16, 2019; in final form August 12, 2019; Published online August 15, 2019
Bibliographic databases:
Document Type: Article
MSC: 81T20
Language: English
Citation: João C. A. Barata, Marcos Brum, “Wavepackets on de Sitter Spacetime”, SIGMA, 15 (2019), 060, 22 pp.
Citation in format AMSBIB
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\paper Wavepackets on de Sitter Spacetime
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