AN ALGEBRAIC CHARACTERIZATION OF VACUUM STATES IN MINKOWSKI SPACE

Authors
BUCHHOLZ D SUMMERS SJ
Citation
D. Buchholz et Sj. Summers, AN ALGEBRAIC CHARACTERIZATION OF VACUUM STATES IN MINKOWSKI SPACE, Communications in Mathematical Physics, 155(3), 1993, pp. 449-458
Citations number
13
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
155
Issue
3
Year of publication
1993
Pages
449 - 458
Database
ISI
SICI code
0010-3616(1993)155:3<449:AACOVS>2.0.ZU;2-R
Abstract
An algebraic characterization of vacuum states on nets of C-algebras over Minkowski space is given and space-time translations are reconstr ucted with the help of the modular structures associated with such sta tes. The result suggests that a ''condition of geometrical modular act ion'' might hold in quantum field theories on a wider class of spaceti me manifolds.