Bernstein Diffusions and Euclidean Quantum Field Theory
作者： A. B. Cruzeiro , Z. Haba , J. C. Zambrini
DOI: 10.1007/978-3-0348-7026-9_6
关键词: Quantum 、 Thermal quantum field theory 、 Focus (optics) 、 Euclidean geometry 、 Physics 、 Quantum field theory 、 Context (language use) 、 Quantum mechanics 、 Theoretical physics
摘要: We extend to an infinite-dimensional context the construction as well calculus of variations associated with Bernstein processes. focus on aspects which are relevant for physical applications two-dimensional quantum fields.
springer.com
sci-hub.st 参考文章(22)
Hans Föllmer, Random fields and diffusion processes Lecture Notes in Mathematics. pp. 101- 203 ,(1988) , 10.1007/BFB0086180
Paul Malliavin, Implicit Functions in Finite Corank on the Wiener Space North-holland Mathematical Library. ,vol. 32, pp. 369- 386 ,(1984) , 10.1016/S0924-6509(08)70400-8
Edward Nelson, Dynamical Theories of Brownian Motion ,(1967)
Constructive quantum field theory II Lecture Notes in Physics. ,vol. 25, ,(1973) , 10.1007/BFB0113079
Joel S Feldman, Ryszard Ra̧czka, The relativistic field equation of the λΦ34 quantum field theory Annals of Physics. ,vol. 108, pp. 212- 229 ,(1977) , 10.1016/0003-4916(77)90357-8
A.B. Cruzeiro, J.C. Zambrini, Malliavin Calculus and Euclidean Quantum Mechanics II. Variational Principle for Infinite Dimensional Processes Journal of Functional Analysis. ,vol. 130, pp. 450- 476 ,(1995) , 10.1006/JFAN.1995.1077
Ana Bela Cruzeiro, Jean-Claude Zambrini, Malliavin calculus and Euclidean quantum mechanics. I. Functional calculus Journal of Functional Analysis. ,vol. 96, pp. 62- 95 ,(1991) , 10.1016/0022-1236(91)90073-E
Robert Schrader, Local Operator Products and Field Equations inP(ϕ)2 Theories Protein Science. ,vol. 22, pp. 611- 631 ,(1974) , 10.1002/PROP.19740221102
A. Wakolbinger, A simplified variational characterization of Schrödinger processes Journal of Mathematical Physics. ,vol. 30, pp. 2943- 2946 ,(1989) , 10.1063/1.528481
J. Schwinger, ON THE EUCLIDEAN STRUCTURE OF RELATIVISTIC FIELD THEORY Proceedings of the National Academy of Sciences of the United States of America. ,vol. 44, pp. 956- 965 ,(1958) , 10.1073/PNAS.44.9.956