POSITIVITY OF WIGHTMAN FUNCTIONALS AND THE EXISTENCE OF LOCAL NETS

被引:18
作者
BORCHERS, HJ [1 ]
YNGVASON, J [1 ]
机构
[1] UNIV ICELAND,DEPT PHYS,REYKJAVIK,ICELAND
关键词
D O I
10.1007/BF02104505
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The paper is concerned with the existence of a local net of von Neumann algebras associated with a given Wightman field. For fields satisfying a generalized H-bound the existence of such a net is shown to be equivalent to a certain positivity property of the Wightman distributions. © 1990 Springer-Verlag.
引用
收藏
页码:607 / 615
页数:9
相关论文
共 31 条
[1]  
ALCANTARABODE J, 1988, ANN I H POINCARE-PHY, V48, P147
[2]  
ARAKI H, 1968, P INT SCH PHYSICS E, V45
[3]  
ARAKI H, 1962, EINFUHRUNG AXIOMATIS
[4]   DUALITY CONDITION FOR A HERMITIAN SCALAR FIELD [J].
BISOGNANO, JJ ;
WICHMANN, EH .
JOURNAL OF MATHEMATICAL PHYSICS, 1975, 16 (04) :985-1007
[5]   DUALITY CONDITION FOR QUANTUM FIELDS [J].
BISOGNANO, JJ ;
WICHMANN, EH .
JOURNAL OF MATHEMATICAL PHYSICS, 1976, 17 (03) :303-321
[6]   STRUCTURE OF ALGEBRA OF FIELD OPERATORS [J].
BORCHERS, HJ .
NUOVO CIMENTO, 1962, 24 (02) :214-+
[7]   ALGEBRA OF FIELD OPERATORS - WEAK COMMUTANT AND INTEGRAL DECOMPOSITIONS OF STATES [J].
BORCHERS, HJ ;
YNGVASON, J .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1975, 42 (03) :231-252
[8]   ON SELF-ADJOINTNESS OF FIELD OPERATORS [J].
BORCHERS, HJ ;
ZIMMERMAN, W .
NUOVO CIMENTO, 1964, 31 (05) :1047-+
[9]   INTEGRAL-REPRESENTATIONS FOR SCHWINGER FUNCTIONALS AND MOMENT PROBLEM OVER NUCLEAR SPACES [J].
BORCHERS, HJ ;
YNGVASON, J .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1975, 43 (03) :255-271
[10]  
BORCHERS HJ, 1989, PARTIALLY COMMUTATIV