ON QUANTUM-FIELDS THAT GENERATE LOCAL ALGEBRAS

被引：12

作者：

BUCHHOLZ, D

机构：

[1] II. Institut für Theoretische Physik, Universität Hamburg

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1990年 / 31卷 / 08期

关键词：

D O I：

10.1063/1.528680

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The properties of quantum fields generating local nets of von Neumann algebras are discussed. For fields that satisfy certain energy bounds, necessary and sufficient conditions for the existence of such a net and for the existence of product states are given in terms of the vacuum expectation values. © 1990 American Institute of Physics.

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页码：1839 / 1846

页数：8

相关论文

共 24 条

[1] DUALITY CONDITION FOR QUANTUM FIELDS [J].

BISOGNANO, JJ ;

WICHMANN, EH .

JOURNAL OF MATHEMATICAL PHYSICS, 1976, 17 (03) :303-321

[2] POSITIVITY OF WIGHTMAN FUNCTIONALS AND THE EXISTENCE OF LOCAL NETS [J].

BORCHERS, HJ ;

YNGVASON, J .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 127 (03) :607-615

[3]

BORCHERS HJ, 1963, NUOVO CIMENTO, V31, P1047

[4] CAUSAL INDEPENDENCE AND THE ENERGY-LEVEL DENSITY OF STATES IN LOCAL QUANTUM-FIELD THEORY [J].

BUCHHOLZ, D ;

WICHMANN, EH .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1986, 106 (02) :321-344

[5] PRODUCT STATES FOR LOCAL ALGEBRAS [J].

BUCHHOLZ, D .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1974, 36 (04) :287-304

[6] ON NOETHER THEOREM IN QUANTUM-FIELD THEORY [J].

BUCHHOLZ, D ;

DOPLICHER, S ;

LONGO, R .

ANNALS OF PHYSICS, 1986, 170 (01) :1-17

[7] LOCAL OBSERVABLES AND PARTICLE STATISTICS .1. [J].

DOPLICHER, S ;

HAAG, R ;

ROBERTS, JE .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1971, 23 (03) :199-+

[8] LOCAL OBSERVABLES AND PARTICLE STATISTICS .2. [J].

DOPLICHER, S ;

HAAG, R ;

ROBERTS, JE .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1974, 35 (01) :49-85

[9] STANDARD AND SPLIT INCLUSIONS OF VONNEUMANN-ALGEBRAS [J].

DOPLICHER, S ;

LONGO, R .

INVENTIONES MATHEMATICAE, 1984, 75 (03) :493-536

[10] ON THE CONNECTION BETWEEN QUANTUM-FIELDS AND VONNEUMANN-ALGEBRAS OF LOCAL OPERATORS [J].

DRIESSLER, W ;

SUMMERS, SJ ;

WICHMANN, EH .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1986, 105 (01) :49-84