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The Haag–Kastler Axioms for the \(\mathscr {P}(\varphi )_2\) Model on the De Sitter Space

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Abstract

We establish the Haag–Kastler axioms for a class of interacting quantum field theories on the two-dimensional de Sitter space, which satisfy finite speed of light. The \({\mathscr {P}} (\varphi )_2\) model constructed in [3], describing massive scalar bosons with polynomial interactions, provides an example.

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Authors and Affiliations

  1. Departamento de Matemática Aplicada, Universidade de São Paulo (USP), São Paulo, Brazil

    Christian D. Jäkel

  2. Departamento de Fisica, Universidade de Juiz de Fora, Juiz de Fora, Brazil

    Jens Mund

Authors
  1. Christian D. Jäkel
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  2. Jens Mund
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Correspondence to Christian D. Jäkel.

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Communicated by Karl-Henning Rehren.

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Jäkel, C.D., Mund, J. The Haag–Kastler Axioms for the \(\mathscr {P}(\varphi )_2\) Model on the De Sitter Space. Ann. Henri Poincaré 19, 959–977 (2018). https://doi.org/10.1007/s00023-018-0647-9

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  • DOI: https://doi.org/10.1007/s00023-018-0647-9

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