Titlebook: Nonlocal Quantum Field Theory and Stochastic Quantum Mechanics; Khavtgain Namsrai Book 1986 D. Reidel Publishing Company, Dordrecht, Holla

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Book 1986raged 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 th

EXUDE

Functional Integral Techniques in Quantum Field Theoryies. Substantial success in the applications of . has been obtained in . In this chapter the main attention is focussed on this problem, which was considered in more detail by Simon (1979); Glimm and Jaffe (1981); especially in the cases of gauge fields by Nash (1978); Faddeev and Slavnov (1980); and of stochastic fields by Langouche .. (1979).

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輕信

Foundation of the Nonlocal Model of Quantized Fieldsion. Another field approach is connected with names of Garding, Wightman, Haag, Lehmann, Symanzik and Zimmermann, etc. The mathematical fundamentals of QFT were given in a series of monographs [see, for example, Bogolubov .. (1958), Streater and Wightman (1964), Jost (1965), and Bogolubov .. (1975)].

無辜

The Basic Problems of Nonlocal Quantum Field Theoryinstein relation between momentum and energy . = (. + .). to be valid for extended fields constructed by means of the relativistic invariant distributions.(.□) (1.11), then they will satisfy free field equations, for example, in the case of the one-component scalar field .(.) = .(.):

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Selected Topics in Stochastic Mechanicsrra (1981) and Moore (1980). We believe that the full clarification of the deep connection between these two approaches will be a major step toward a better understanding of the physical foundations of quantum mechanics.

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Further Developments in Stochastic Quantization of gauge fields, and the use of new techniques and concepts. A central role in these ideas is played by the fact that there exist stochastic solutions of a simple variant of the Yang-Mills theory, obtained by Matinyan .. (1981a, b); Chirikov and Shepelyansky (1981).

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