中国物理B ›› 2001, Vol. 10 ›› Issue (10): 902-906.doi: 10.1088/1009-1963/10/10/304

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

桂元星1, 吴亚波2   

  1. (1)Department of Physics, Dalian University of Technology, Dalian 116023, China; (2)Department of Physics, Liaoning Normal University, Dalian 116029, China
  • 收稿日期:2001-02-19 修回日期:2001-06-04 出版日期:2001-10-15 发布日期:2005-06-12
  • 基金资助:
    Project supported by the College Science Research Foundation of Educational Department of Liaoning Province, China (Grant No. 20041012).

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

Wu Ya-bo (吴亚波)a, Gui Yuan-xing (桂元星)b    

  1. a Department of Physics, Liaoning Normal University, Dalian 116029, China; b Department of Physics, Dalian University of Technology, Dalian 116023, China
  • Received:2001-02-19 Revised:2001-06-04 Online:2001-10-15 Published:2005-06-12
  • Supported by:
    Project supported by the College Science Research Foundation of Educational Department of Liaoning Province, China (Grant No. 20041012).

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摘要： 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.

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.

Key words: Ashtekar gravitational theory, Dirac spinoral fields, Hamiltonian constraint equations

中图分类号:  (Spacetime topology, causal structure, spinor structure)

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