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Stochastic Quantization (Paperback, Softcover reprint of the original 1st ed. 1992)
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Stochastic Quantization (Paperback, Softcover reprint of the original 1st ed. 1992)
Series: Lecture Notes in Physics Monographs, 9
Expected to ship within 10 - 15 working days
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This is a textbook on stochastic quantization which was originally
proposed by G. Parisi and Y. S. Wu in 1981 and then developed by
many workers. I assume that the reader has finished a standard
course in quantum field theory. The Parisi-Wu stochastic
quantization method gives quantum mechanics as the
thermal-equilibrium limit of a hypothetical stochastic process with
respect to some fictitious time other than ordinary time. We can
consider this to be a third method of quantization; remarkably
different from the conventional theories, i. e, the canonical and
path-integral ones. Over the past ten years, we have seen the
technical merits of this method in quantizing gauge fields and in
performing large numerical simulations, which have never been
obtained by the other methods. I believe that the stochastic
quantization method has the potential to extend the territory of
quantum mechanics and of quantum field theory. However, I should
remark that stochastic quantization is still under development
through many mathematical improvements and physical applications,
and also that the fictitious time of the theory is only a
mathematical tool, for which we do not yet know its origin in the
physical background. For these reasons, in this book, I attempt to
describe its theoretical formulation in detail as well as practical
achievements.
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