A Weyl-Cartan space-time model based on the gauge principleстатья
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Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Местоположение издательства:Road Town, United Kingdom
Первая страница:1420
Последняя страница:1432
Аннотация:Based on the requirement that the gauge invariance principle for the Poincar´e–Weyl group be satisfied
for the space–time manifold, we construct a model of space–time with the geometric structure of a Weyl–
Cartan space. We show that three types of fields must then be introduced as the gauge (“compensating”)
fields: Lorentz, translational, and dilatational. Tetrad coefficients then become functions of these gauge
fields. We propose a geometric interpretation of the Dirac scalar field. We obtain general equations for
the gauge fields, whose sources can be the energy–momentum tensor, the total momentum, and the total
dilatation current of an external field. We consider the example of a direct coupling of the gauge field to the
orbital momentum of the spinor field. We propose a gravitational field Lagrangian with gauge-invariant
transformations of the Poincar´e–Weyl group.