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Prog. Theor. Phys. Vol. 61 No. 5 (1979) pp. 1521-1535

Relativistic Path Integrals

Takashi Miura

Faculty of Technology, Kanagawa University, Yokohama 221

(Received August 28, 1978)

Abstract:

An elementary theory of relativistic path integrals is developed in the Lorentz-space. A path integral for a Dirac electron is formulated, in which the perturbation expansion is shown to give just the same rules as those given in the more usual formulation of field theory.
A geometrical feature of path integrals is investigated by using Weyl's theory of phase connection and the interaction with the Yang-Mills field is introduced in this way into path integrals. The use of the proper-time in relativistic path integrals is discussed by using the method of the Lagrange multiplier. Path integrals in curvilinear coordinates are investigated as an example of applications of these studies.

URL : http://ptp.ipap.jp/link?PTP/61/1521/
DOI : 10.1143/PTP.61.1521

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References:

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 66 No. 2 (1981) pp. 672-684 :

   Covariant Schrödinger Equation via Path Integrals

   Takashi Miura

2. Progress of Theoretical Physics Vol. 76 No. 3 (1986) pp. 571-575 :

   WKB Approximations for Relativistic Particles

   Takashi Miura

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