Covariant SPDEs and quantum field structures

被引：9
作者：
Becker, C [1 ]
Gielerak, R
Lugiewicz, P
机构：
[1] Ruhr Univ Bochum, Inst Math, D-44780 Bochum, Germany
[2] Univ Wroclaw, Inst Theoret Phys, PL-50204 Wroclaw, Poland
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1998年 / 31卷 / 01期
关键词：
D O I：
10.1088/0305-4470/31/1/022
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Covariant stochastic partial differential equations (SPDEs) are studied in any dimension. A special class of such equations is selected and it is proved that the solutions can be analytically continued to Minkowski spacetime yielding tempered Wightman distributions which are covariant, obey the locality axiom and a weak form of the spectral axiom.
引用
收藏
页码：231 / 258
页数：28
相关论文
共 55 条
[1]   RANDOM-FIELDS AS SOLUTIONS OF THE INHOMOGENEOUS QUATERNIONIC CAUCHY-RIEMANN EQUATION .1. INVARIANCE AND ANALYTIC CONTINUATION [J].
ALBEVERIO, S ;
IWATA, K ;
KOLSRUD, T .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 132 (03) :555-580
[2]   REPRESENTATION AND CONSTRUCTION OF MULTIPLICATIVE NOISE [J].
ALBEVERIO, S ;
HOLDEN, H ;
HOEGHKROHN, R ;
KOLSRUD, T .
JOURNAL OF FUNCTIONAL ANALYSIS, 1989, 87 (02) :250-272
[3]   EUCLIDEAN MARKOV-FIELDS AND RELATIVISTIC QUANTUM-FIELDS FROM STOCHASTIC PARTIAL-DIFFERENTIAL EQUATIONS IN 4 DIMENSIONS [J].
ALBEVERIO, S ;
HOEGHKROHN, R .
PHYSICS LETTERS B, 1986, 177 (02) :175-179
[4]   EUCLIDEAN RANDOM-FIELDS OBTAINED BY CONVOLUTION FROM GENERALIZED WHITE-NOISE [J].
ALBEVERIO, S ;
WU, JL .
JOURNAL OF MATHEMATICAL PHYSICS, 1995, 36 (10) :5217-5245
[5]   QUATERNIONIC NON-ABELIAN RELATIVISTIC QUANTUM-FIELDS IN 4 SPACE-TIME DIMENSIONS [J].
ALBEVERIO, S ;
HOEGHKROHN, R .
PHYSICS LETTERS B, 1987, 189 (03) :329-336
[6]   A CONVERGENT LATTICE APPROXIMATION FOR NONLINEAR ELECTROMAGNETIC-FIELDS IN 4 DIMENSIONS [J].
ALBEVERIO, S ;
IWATA, K ;
SCHMIDT, M .
JOURNAL OF MATHEMATICAL PHYSICS, 1993, 34 (08) :3327-3342
[7]  
Atiyah M.F., 1964, TOPOLOGY S1, V3, P3, DOI 10.1016/0040-9383(64)90003-5
[8]  
BECKER C, 1997, IN PRESS EUCLIDEAN Q
[9]  
BECKER C, 1996, P 5 GEOGYN S, P76
[10]  
BERG C, 1975, ERGEBNISSE MATH IHRE, V87
123456