著者

Yasue Kunio Department of Physics Kyoto University

出版者

Published for the Research Institute for Fundamental Physics by Physical Society of Japan

雑誌

Progress of Theoretical Physics (ISSN:0033068X)

巻号頁・発行日

vol.57, no.1, pp.p318-328, 1977-01

被引用文献数

12

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Assuming that the space-time consists of elementary domains proposed by Yukawa, we attempt to extend the stochastic quantization procedures introduced by Nelson in the non-relativistic case to the relativistic one. In our view, the conventional Minkowski structure of space-time is to reflect the macroscopic property, so that it may be derived from our stochastic formulation as its continuum limit. The relativistic wave equation is set up to describe the behavior of successive inter-elementary-domain transitions of an excitation. It is found that the equation is of the Fock-Nambu-Feynman type.

著者

Kugo Taichiro Ojima Izumi Department of Physics Kyoto University Research Institute for Mathematical Sciences Kyoto University

出版者

Publication Office, Progress of Theoretical Physics

雑誌

Supplement of the Progress of theoretical physics = Supplement of the Progress of theoretical physics (ISSN:03759687)

巻号頁・発行日

vol.66, pp.1-130, 1979-12-20

被引用文献数

4 935

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A manifestly covariant and local canonical operator formalism of non-Abelian gauge theories is presented in its full detail. This formalism, applicable to Yang-Mills theories as well as to gravity, not only provides us a transparent understanding in the scattering theoretical aspects, but also makes it possible to discuss other important problems directly related to the (Heisenberg) operators and the state vectors: As for the former, the physical S-matrix unitarity is proved quite generally on the basis of the representation of the algebra of the BRS charge, and asymptotic field analysis is explicitly performed for some examples. As for the latter, the problems of observables and the well-definedness of charge operators are discussed and clear results are obtained, where the locality and covariance of the formalism are indispensable. Observables are shown to be invariant under the BRS transformation as well as the unbroken global gauge groups. By analyzing the structure of "Maxwell" equations in YM theories, the converse of the Higgs theorem is found to hold. This turns out to lead to a remarkably simple criterion of quark confinement in QCD. The present formalism is found useful also for the U(1) problem and the charge universality proof in the Weinberg-Salam model. General theory of indefinite metric quantum fields is developed to some extent.