ON SPINOR REPRESENTATIONS IN THE WEYL GAUGE-THEORY

Authors
BARBASHOV BM PESTOV AB
Citation
Bm. Barbashov et Ab. Pestov, ON SPINOR REPRESENTATIONS IN THE WEYL GAUGE-THEORY, Modern physics letters A, 12(26), 1997, pp. 1957-1968
Citations number
12
Categorie Soggetti
Physics, Nuclear","Physics, Particles & Fields","Physycs, Mathematical
Journal title
Modern physics letters A → ACNP
ISSN journal
02177323
Volume
12
Issue
26
Year of publication
1997
Pages
1957 - 1968
Database
ISI
SICI code
0217-7323(1997)12:26<1957:OSRITW>2.0.ZU;2-F
Abstract
A spinor current-source is found in the Weyl non-Abelian gauge theory which does not contain the abstract gauge space. It is shown that the searched spinor representation can be constructed in the space of exte rnal differential forms and it is a 16-component quantity for which a gauge-invariant Lagrangian is determined. The connection between the W eyl non-Abelian gauge potential and the Cartan torsion field, and the problem of a possible manifestation of the considered interactions are considered.