Nonlocal Quantum Field Theory and Stochastic Quantum Mechanics / Edition 1

by K.H. Namsrai

Overview

over this shastic space-time leads to the non local fields considered by G. V. Efimov. In other words, shasticity 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 shasticity (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 shastic particles and to study some important problems of the theory of shastic 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 (shastic) mechanics]. In this direction our approach (Part II) may be useful in recent developments of the shastic 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.

Product Details

ISBN-13:	9789027720016
Publisher:	Springer Netherlands
Publication date:	12/31/1985
Series:	Fundamental Theories of Physics , #13
Edition description:	1986
Pages:	426
Product dimensions:	6.10(w) x 9.25(h) x 0.24(d)

Table of Contents

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 Shastic Space-Time.- 4/Four-Fermion Weak Interactions in Shastic Space-Time.- 5/Functional Integral Techniques in Quantum Field Theory.- II: Shastic Quantum Mechanics and Fields.- 6/The Basic Concepts of Random Processes and Shastic Calculus.- 7/Basic Ideas of Shastic Quantization.- 8/Shastic Mechanics.- 9/Selected Topics in Shastic Mechanics.- 10 Further Developments in Shastic Quantization.- 11/Some Physical Consequences of the Hypothesis of Shastic Space-Time and the Fundamental Length.