Quantum field theory on the double covering of the two-dimensional de Sitter universe

Paper Title:

QFT and topology in two dimensions: $SL(2,{\Bbb R})$-symmetry and the de Sitter universe

Published on:

27 February 2020

Primary Category:

High Energy Physics - Theory

Paper Authors:

Henri Epstein,

Ugo Moschella

Bullets

Key Details

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Studies QFT on the double covering of 2D de Sitter, a globally hyperbolic and geodesically complete manifold

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Shows that the Hawking-Gibbons temperature and Bunch-Davies vacuum disappear on this manifold

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Provides a classification of SL(2,R)-invariant two-point functions

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Proves the incompatibility of analyticity with invariance, locality and the KG equation

Explore the topics in this paper

cosmology

de sitter space

hawking radiation

klein-gordon equation

quantum field theory

AI generated summary

Quantum field theory on the double covering of the two-dimensional de Sitter universe

This paper studies bosonic quantum field theory on the double covering of the two-dimensional de Sitter universe. It shows that there is no analogue of the Bunch-Davies vacuum state and the Hawking-Gibbons temperature disappears on this manifold. The global Lorentzian structure causes drastic differences from the standard de Sitter spacetime at the quantum level, despite locally identical geometry. The paper provides a classification of SL(2,R)-invariant two-point functions and proves the incompatibility of analyticity with invariance, locality and the KG equation.