Wavepackets on de Sitter Spacetime

被引：0

作者：

Barata, Joao C. A. ^{[1
]}

Brum, Marcos ^{[1
,2
]}

机构：

[1] Univ Sao Paulo, Inst Fis, Rua Matao 1371, BR-05508090 Sao Paulo, Brazil

[2] Univ Fed Rio de Janeiro, Dept Matemat, Campus Duque Caxias, BR-25265970 Duque De Caxias, Brazil

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2019年 / 15卷

基金：

巴西圣保罗研究基金会;

关键词：

quantum field theory on de Sitter spacetime; Haag-Ruelle scattering theory; theory of group representations; algebraic quantum field theory; PALEY-WIENER THEOREM; QUANTUM-FIELD THEORY; DEGENERATE REPRESENTATIONS; UNITARY REPRESENTATIONS; PARTICLES; CONTRACTIONS;

D O I：

10.3842/SIGMA.2019.060

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：22

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