TWO-POINT FUNCTIONS AND QUANTUM FIELDS IN DE SITTER UNIVERSE
From MaRDI portal
Publication:4890809
DOI10.1142/S0129055X96000123zbMATH Open0858.53054arXivgr-qc/9511019OpenAlexW2124331948WikidataQ56625037 ScholiaQ56625037MaRDI QIDQ4890809
Author name not available (Why is that?)
Publication date: 10 March 1997
Published in: (Search for Journal in Brave)
Abstract: We present a theory of general two-point functions and of generalized free fields in d-dimensional de Sitter space-time which closely parallels the corresponding minkowskian theory. The usual spectral condition is now replaced by a certain geodesic spectral condition, equivalent to a precise thermal characterization of the corresponding ``vacuumstates. Our method is based on the geometry of the complex de Sitter space-time and on the introduction of a class of holomorphic functions on this manifold, called perikernels, which reproduce mutatis mutandis the structural properties of the two-point correlation functions of the minkowskian quantum field theory. The theory contains as basic elementary case the linear massive field models in their ``preferred representation. The latter are described by the introduction of de Sitter plane waves in their tube domains which lead to a new integral representation of the two-point functions and to a Fourier-Laplace type transformation on the hyperboloid. The Hilbert space structure of these theories is then analysed by using this transformation. In particular we show the Reeh-Schlieder property. For general two-point functions, a substitute to the Wick rotation is defined both in complex space-time and in the complex mass variable, and substantial results concerning the derivation of Kallen-Lehmann type representation are obtained.
Full work available at URL: https://arxiv.org/abs/gr-qc/9511019
No records found.
No records found.
This page was built for publication: TWO-POINT FUNCTIONS AND QUANTUM FIELDS IN DE SITTER UNIVERSE
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q4890809)
