UNIQUENESS AND THE GLOBAL MARKOV PROPERTY FOR EUCLIDEAN FIELDS - CASE OF TRIGONOMETRIC INTERACTIONS

被引：56

作者：

ALBEVERIO, S

HOEGHKROHN, R

机构：

[1] CNRS,CTR PHYS THEOR,F-13274 MARSEILLE 02,FRANCE

[2] UNIV OSLO,INST MATEMAT,OSLO,NORWAY

[3] UNIV AIX MARSEILLE II,UER LUMINY,MARSEILLE,FRANCE

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1979年 / 68卷 / 02期

关键词：

D O I：

10.1007/BF01418123

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove the global Markov property for the Euclidean measure given by weak trigonometric interactions. To obtain this result we first prove a uniqueness theorem concerning the set of regular Gibbs measures corresponding to a given interaction. © 1979 Springer-Verlag.

引用

页码：95 / 128

页数：34

共 46 条

[1] DIRICHLET FORMS AND DIFFUSION PROCESSES ON RIGGED HILBERT SPACES [J].

ALBEVERIO, S ;

HOEGHKROHN, R .

ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1977, 40 (01) :1-57

[2]

ALBEVERIO S, 1977, ANN I H POINCARE B, V13, P269

[3] UNIQUENESS OF PHYSICAL VACUUM AND WIGHTMAN FUNCTIONS IN INFINITE VOLUME LIMIT FOR SOME NON-POLYNOMIAL INTERACTIONS [J].

ALBEVERIO, S ;

HOEGHKRO.R .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1973, 30 (03) :171-200

[4]

Albeverio S., 1974, J FUNCT ANAL, V16, P39, DOI [10.1016/0022-1236(74)90070-6, DOI 10.1016/0022-1236(74)90070-6]

[5] HAMILTONIAN FORMALISM AND THE CANONICAL COMMUTATION RELATIONS IN QUANTUM FIELD THEORY [J].

ARAKI, H .

JOURNAL OF MATHEMATICAL PHYSICS, 1960, 1 (06) :492-504

[6] DLR MEASURES FOR ONE-DIMENSIONAL HARMONIC SYSTEMS [J].

BENFATTO, G ;

PRESUTTI, E ;

PULVIRENTI, M .

ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1978, 41 (04) :305-312

[7] EXISTENCE AND UNIQUENESS OF DLR MEASURES FOR UNBOUNDED SPIN SYSTEMS [J].

CASSANDRO, M ;

OLIVIERI, E ;

PELLEGRINOTTI, A ;

PRESUTTI, E .

ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1978, 41 (04) :313-334

[8] EUCLIDEAN FIELD-THEORY .2. REMARKS ON EMBEDDING RELATIVISTIC HILBERT-SPACE [J].

CHALLIFOUR, JL .

JOURNAL OF MATHEMATICAL PHYSICS, 1976, 17 (10) :1889-1892

[9] REPRESENTATION OF STATES IN A FIELD THEORY WITH CANONICAL VARIABLES [J].

COESTER, F ;

HAAG, R .

PHYSICAL REVIEW, 1960, 117 (04) :1137-1145

[10]

DANGNGOC N, 1978, P AM MATH SOC, V70, P185

← 1 2 3 4 5 →