The energy-momentum spectrum in local field theories with broken Lorentz- symmetry
type: Item
instance of: scholarly article
title: The energy-momentum spectrum in local field theories with broken Lorentz- symmetry
zbMATH Open document ID: 0578.46061
DOI: 10.1007/BF01206185
author: Detlev Buchholz
author: H. J. Borchers
published in: Communications in Mathematical Physics
publication date: 1985-01-01T00:00:00Z
review text: Let A be a \(C^*\)-algebra of local observables, and let the translation group \({\mathbb{R}}^ d\) act on it, and look at a covariant representation with U(a) the corresponding representation of the translation group. Assuming that the spectrum of U(a) is in the forward lightcone, then, as a consequence of the locality, there exist a unique minimal representation \(U^ 0(a)\) fulfilling again the spectrum condition, and the lower boundary of its spectrum is a Lorentz invariant set.
Mathematics Subject Classification ID: 46L60
Mathematics Subject Classification ID: 46N99
Mathematics Subject Classification ID: 81T05
Mathematics Subject Classification ID: 81V10
Mathematics Subject Classification ID: 46L55
Mathematics Subject Classification ID: 22D25
zbMATH DE Number: 3925599
zbMATH Keywords: \(C^*\)-algebra of local observables
zbMATH Keywords: covariant representation
zbMATH Keywords: translation group
zbMATH Keywords: unique minimal representation
zbMATH Keywords: spectrum condition
zbMATH Keywords: Lorentz invariant set
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01206185
OpenAlex ID: W4245824494
description: scientific article; zbMATH DE number 3925599