On gauge invariant and phase invariant spinor analysis. 2

Buchdahl, Hans A.

doi:10.1063/1.529927

On gauge invariant and phase invariant spinor analysis. 2

Hans A. Buchdahl
(
- Australian Natl. U., Canberra
)

1992

4 pages

Published in:

J.Math.Phys. 33 (1992) 64-67

DOI:

10.1063/1.529927

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Abstract: (AIP)

Granted customary definitions, the operations of juggling indices and covariant differentiation do not commute with one another in a Weyl space. The same noncommutativity obtains in the spinor calculus of Infeld and van der Waerden. Gauge‐invariant and phase‐invariant calculations therefore tend to be rather cumbersome. Here, a modification of the definition of covariant derivative leads immediately to a manifestly gauge‐invariant and phase‐invariant version of Weyl–Cartan space and of the two‐spinor calculus associated with it in which the metric tensor and the metric spinor are both covariant constant.

space-time
spinor
transformation: gauge

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