Nonlocal Quantum Field Theory and Stochastic Quantum Mechanics

over this stochastic space-time leads to the non local fields considered by G. V. Efimov. In other words, stochasticity of space-time (after being averaged on a large scale) as a self-memory makes the theory nonlocal. This allows one to consider in a unified way the effect of stochasticity (or nonlo...

Full description

Main Author: Namsrai, K.H.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 1986, 1986
Edition:1st ed. 1986
Series:Fundamental Theories of Physics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
LEADER 03173nmm a2200289 u 4500
001 EB000712618
003 EBX01000000000000000565700
005 00000000000000.0
007 cr|||||||||||||||||||||
008 140122 ||| eng
020 |a 9789400945180 
100 1 |a Namsrai, K.H. 
245 0 0 |a Nonlocal Quantum Field Theory and Stochastic Quantum Mechanics  |h Elektronische Ressource  |c by K.H. Namsrai 
250 |a 1st ed. 1986 
260 |a Dordrecht  |b Springer Netherlands  |c 1986, 1986 
300 |a XVIII, 426 p  |b online resource 
505 0 |a I: Nonlocal Quantum Field Theory -- I/Foundation of the Nonlocal Model of Quantized Fields -- 2/The Basic Problems of Nonlocal Quantum Field Theory -- 3/Electromagnetic Interactions in Stochastic Space-Time -- 4/Four-Fermion Weak Interactions in Stochastic Space-Time -- 5/Functional Integral Techniques in Quantum Field Theory -- II: Stochastic Quantum Mechanics and Fields -- 6/The Basic Concepts of Random Processes and Stochastic Calculus -- 7/Basic Ideas of Stochastic Quantization -- 8/Stochastic Mechanics -- 9/Selected Topics in Stochastic Mechanics -- 10 Further Developments in Stochastic Quantization -- 11/Some Physical Consequences of the Hypothesis of Stochastic Space-Time and the Fundamental Length 
653 |a Mathematical physics 
653 |a Theoretical, Mathematical and Computational Physics 
710 2 |a SpringerLink (Online service) 
041 0 7 |a eng  |2 ISO 639-2 
989 |b SBA  |a Springer Book Archives -2004 
490 0 |a Fundamental Theories of Physics 
856 |u https://doi.org/10.1007/978-94-009-4518-0?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 530.1 
520 |a over this stochastic space-time leads to the non local fields considered by G. V. Efimov. In other words, stochasticity of space-time (after being averaged on a large scale) as a self-memory makes the theory nonlocal. This allows one to consider in a unified way the effect of stochasticity (or nonlocality) in all physical processes. Moreover, the universal character of this hypothesis of space-time at small distances enables us to re-interpret the dynamics of stochastic particles and to study some important problems of the theory of stochastic processes [such as the relativistic description of diffusion, Feynman­ type processes, and the problem of the origin of self-turbulence in the motion of free particles within nonlinear (stochastic) mechanics]. In this direction our approach (Part II) may be useful in recent developments of the stochastic interpretation of quantum mechanics and fields due to E. Nelson, D. Kershaw, I. Fenyes, F. Guerra, de la Pena-Auerbach, J. -P. Vigier, M. Davidson, and others. In particular, as shown by N. Cufaro Petroni and J. -P. Vigier, within the discussed approach, a causal action-at-distance interpretation of a series of experiments by A. Aspect and his co-workers indicating a possible non locality property of quantum mechanics, may also be obtained. Aspect's results have recently inspired a great interest in different nonlocal theories and models devoted to an understanding of the implications of this nonlocality. This book consists of two parts