Elementary Particles and Weyl's Gauge Field

Details Elementary Particles and Weyl's Gauge Field Elementary Particles and Weyl's Gauge Field

Feb 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977pthph..57..431h&link_type=abstract

Progress of Theoretical Physics, Vol. 57, No. 2, pp. 431-440

Physics

19

Scientific paper

In the conventional theory of the conformal transformation of the metric tensor, only tensor fields can be treated. A general theoretical framework is presented such that both tensor and spinor fields can be incorporated. We define a conformal transformation of a metric spinor, for which a spinor basis is invariant, and we also define a scale transformation of a spinor basis, for which a metric spinor is invariant. It is shown that a particular mixing of a conformal transformation and a scale transformation gives rise to the usual conformal transformation of the metric tensor. Furthermore, it is proven that Weyl's gauge field does not couple to any elementary particle of spin 1/2, quite independently of its conformal weight.

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