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Nonlocal Quantum Field Theory and Stochastic Quantum Mechanics

  • Book
  • © 1986

Overview

Authors:
  1. Khavtgain Namsrai

    1. Institute of Physics and Technology, Academy of Sciences, Mongolian People’s Republic
      Joint Institute for Nuclear Research, Dubna, USSR

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Part of the book series: Fundamental Theories of Physics (FTPH, volume 13)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xviii
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  2. Nonlocal Quantum Field Theory

    1. Front Matter

      Pages 1-1
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    2. Foundation of the Nonlocal Model of Quantized Fields

      • Khavtgain Namsrai
      Pages 3-45

    3. The Basic Problems of Nonlocal Quantum Field Theory

      • Khavtgain Namsrai
      Pages 46-103

    4. Electromagnetic Interactions in Stochastic Space-Time

      • Khavtgain Namsrai
      Pages 104-133

    5. Four-Fermion Weak Interactions in Stochastic Space-Time

      • Khavtgain Namsrai
      Pages 134-156

    6. Functional Integral Techniques in Quantum Field Theory

      • Khavtgain Namsrai
      Pages 157-209

  3. Stochastic Quantum Mechanics and Fields

    1. Front Matter

      Pages 211-211
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    2. The Basic Concepts of Random Processes and Stochastic Calculus

      • Khavtgain Namsrai
      Pages 213-252

    3. Basic Ideas of Stochastic Quantization

      • Khavtgain Namsrai
      Pages 253-274

    4. Stochastic Mechanics

      • Khavtgain Namsrai
      Pages 275-295

    5. Selected Topics in Stochastic Mechanics

      • Khavtgain Namsrai
      Pages 296-323

    6. Further Developments in Stochastic Quantization

      • Khavtgain Namsrai
      Pages 324-356

    7. Some Physical Consequences of the Hypothesis of Stochastic Space-Time and the Fundamental Length

      • Khavtgain Namsrai
      Pages 357-403

  4. Back Matter

    Pages 404-426
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Keywords

About this book

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.

Authors and Affiliations

  • Institute of Physics and Technology, Academy of Sciences, Mongolian People’s Republic

    Khavtgain Namsrai

  • Joint Institute for Nuclear Research, Dubna, USSR

    Khavtgain Namsrai

Bibliographic Information

  • Book Title: Nonlocal Quantum Field Theory and Stochastic Quantum Mechanics

  • Authors: Khavtgain Namsrai

  • Series Title: Fundamental Theories of Physics

  • DOI: https://doi.org/10.1007/978-94-009-4518-0

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: D. Reidel Publishing Company, Dordrecht, Holland 1986

  • Hardcover ISBN: 978-90-277-2001-6Published: 31 December 1985

  • Softcover ISBN: 978-94-010-8513-7Published: 19 January 2012

  • eBook ISBN: 978-94-009-4518-0Published: 06 December 2012

  • Series ISSN: 0168-1222

  • Series E-ISSN: 2365-6425

  • Edition Number: 1

  • Number of Pages: XVIII, 426

  • Topics: Theoretical, Mathematical and Computational Physics

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