On causal compatibility of quantum field theories and space-times
type: Item
instance of: scholarly article
title: On causal compatibility of quantum field theories and space-times
zbMATH Open document ID: 0937.81049
author: M. Keyl
published in: Communications in Mathematical Physics
publication date: 1999-07-21T00:00:00Z
review text: The author addresses the problem to determine the amount of information concerning the geometric structure, i.e. the existence of spacetime plus metric, encoded in the algebraic structure of the net of local observables. Causal compatibility has been proposed and studied earlier by the author [Rev. Math. Phys. 8, No. 2, 229-270 (1996)]. For a more recent work by the author see [Int. J. Theor. Phys. 37, No. 1, 375-385 (1998; Zbl 0909.46059)]. One main pillar is the striking result that the geometric structure is uniquely determined up to conformal equivalence. The present paper characterizes space-like separation in an algebraic way so as to make sense even in cases of partially ordered sets of algebras for which there is no underlying spacetime. Also, it appears that the general goal is to replace properties of spacetime by those of local nets.
Mathematics Subject Classification ID: 81T20
Mathematics Subject Classification ID: 46N50
Mathematics Subject Classification ID: 81T05
zbMATH DE Number: 1316938
zbMATH Keywords: geometric structure
zbMATH Keywords: existence of spacetime plus metric
zbMATH Keywords: algebraic structure of the net of local observables
zbMATH Keywords: space-like separation
reviewed by: Gert Roepstorff
MaRDI profile type: Publication
full work available at URL: s002200050377
OpenAlex ID: W1991228286
DOI: 10.1007/S002200050377
description: scientific article; zbMATH DE number 1316938