On the existence of the real time evolution in Euclidean lattice gauge theories
type: Item
instance of: scholarly article
title: On the existence of the real time evolution in Euclidean lattice gauge theories
zbMATH Open document ID: 0581.46064
DOI: 10.1007/BF01210746
author: Klaus Fredenhagen
published in: Communications in Mathematical Physics
publication date: 1985-01-01T00:00:00Z
review text: Each reflection positive Gibbs state of an Euclidean lattice gauge theory is shown to induce a (locally normal) ground state of the quantum theoretical algebra of local observables. The transfer matrix implements a densely defined (non *-)automorphism of this algebra. This fact is used to derive the nonexistence of zero eigenvalues of the transfer matrix, thus a densely defined selfadjoint Hamiltonian always exists.
Mathematics Subject Classification ID: 46N99
Mathematics Subject Classification ID: 47D03
Mathematics Subject Classification ID: 82B10
zbMATH DE Number: 3929740
zbMATH Keywords: reflection positive Gibbs state of an Euclidean lattice gauge theory
zbMATH Keywords: ground state of the quantum theoretical algebra of local observables
zbMATH Keywords: transfer matrix implements
zbMATH Keywords: nonexistence of zero eigenvalues of the transfer matrix
MaRDI profile type: Publication
cites work: Q3910965
cites work: Charged states in \(\mathbb Z_ 2\) gauge theories
cites work: Q5576569
description: scientific article; zbMATH DE number 3929740