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Some aspects of the geometry of first-quantized theories

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Abstract

The ECSK and Yang-Mills theories are constructed with emphasis on their fiber bundle structure. In particular, the momentum tensor is derived as the Noether current of translational symmetry. The structure of the ECSK theory as a gauge theory of the Poincaré group is discussed. A theory of a Dirac field exhibiting internal affine symmetry, i.e., full internal Poincaré symmetry, is described. Aspects of the topological-geometric foundations of these theories are discussed, and some intuitive interpretations are presented.

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  1. Lamp Materials Research Laboratory, General Electric Co., Nela Park, 44112, Cleveland, Ohio

    R. J. Petti

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  1. R. J. Petti
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Petti, R.J. Some aspects of the geometry of first-quantized theories. Gen Relat Gravit 7, 869–883 (1976). https://doi.org/10.1007/BF00771019

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  • DOI: https://doi.org/10.1007/BF00771019

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