SPINORS IN WEYL GEOMETRY

Authors
FARIBORZ AH MCKEON DGC
Citation
Ah. Fariborz et Dgc. Mckeon, SPINORS IN WEYL GEOMETRY, Classical and quantum gravity, 14(9), 1997, pp. 2517-2525
Citations number
18
Categorie Soggetti
Physics
Journal title
Classical and quantum gravity → ACNP
ISSN journal
02649381
Volume
14
Issue
9
Year of publication
1997
Pages
2517 - 2525
Database
ISI
SICI code
0264-9381(1997)14:9<2517:SIWG>2.0.ZU;2-0
Abstract
We consider the wave equation for spinors in;D-dimensional Weyl geomet ry. By appropriately coupling the Weyl vector phi(mu) as well as the s pin connection omega(mu ab) to the spinor field, conformal invariance can be maintained. The 1-loop effective action generated by the coupli ng of the spinor held to an external gravitational field is computed i n two dimensions. It is found to be identical in form to the effective action for the case of a scalar field propagating in two dimensions.