NUCLEAR MAPS AND MODULAR STRUCTURES .2. APPLICATIONS TO QUANTUM-FIELD THEORY

被引：53
|
作者：
BUCHHOLZ, D
DANTONI, C
LONGO, R
机构：
[1] UNIV ROME LA SAPIENZA,DIPARTIMENTO MATEMAT,I-00185 ROME,ITALY
[2] UNIV ROMA TOR VERGATA,DIPARTIMENTO MATEMAT,I-00133 ROME,ITALY
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1990年 / 129卷 / 01期
关键词：
D O I：
10.1007/BF02096782
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A correspondence between spectral properties of modular operators appearing in quantum field theory and the Hamiltonian is established. It allows to prove the "distal" split property for a wide class of models. Conversely, any model having this property is shown to satisfy the Haag-Swieca compactness criterion. The results lead to a new type of nuclearity condition which can be applied to quantum field theories on arbitrary space-time manifolds. © 1990 Springer-Verlag.
引用
收藏
页码：115 / 138
页数：24
相关论文
共 50 条
12345