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On weyl's gauge field in a non-local field

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Abstract

In this paper, a non-local field (i.e. the (x, ψ)-field) is constructed by regarding the spinor (ψ) as the internal freedom attached to each point (x). Since this field is likened to a unified field between the (x)- and (ψ)-fields, the metric is given bydσψ=gλ dx λψ. Concerning this, some conformally equivalent relations are considered. Next, Weyl's gauge field is introduced into the concept of connection in order to consider the gauge invariance. Finally, some essential features underlying our non-local field are grasped by formulating some fundamental equations of the spin curvature tensors.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Faculty of Science and Technology, Science University of Tokyo, Noda, Chiba, Japan

    Satoshi Ikeda

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  1. Satoshi Ikeda
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Ikeda, S. On weyl's gauge field in a non-local field. Int J Theor Phys 11, 205–212 (1974). https://doi.org/10.1007/BF01809570

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  • DOI: https://doi.org/10.1007/BF01809570

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