THE DOUBLE COUPLING OF THE ASHTEKAR GRAVITATIONAL FIELD TO THE DIRAC SPINORAL FIELDS

doi:10.1088/1009-1963/10/10/304

Abstract

Abstract By introducing the double spacetime manifold, the double gamma matrices and Dirac spinors, the action of the Dirac spinoral fields is doubled. Furthermore, the double coupling of the Dirac fields to the Ashtekar gravitational fields is studied.

Keywords: Ashtekar gravitational theory Dirac spinoral fields Hamiltonian constraint equations

Received: 19 February 2001
Revised: 04 June 2001
Accepted manuscript online:

PACS:

04.20.Gz

(Spacetime topology, causal structure, spinor structure)

Fund: Project supported by the College Science Research Foundation of Educational Department of Liaoning Province, China (Grant No. 20041012).

Cite this article:

Wu Ya-bo (吴亚波), Gui Yuan-xing (桂元星) THE DOUBLE COUPLING OF THE ASHTEKAR GRAVITATIONAL FIELD TO THE DIRAC SPINORAL FIELDS 2001 Chinese Physics 10 902

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THE DOUBLE COUPLING OF THE ASHTEKAR GRAVITATIONAL FIELD TO THE DIRAC SPINORAL FIELDS

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