Acta mathematica scientia,Series B

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CALCULATION OF HAMILTONIAN CONSTRAINT AND MANDELSTAM IDENTITIES OVER EXTENDED KNOT FAMILIES

Shao Dan; Shao Liang; Shao Changgui   

  1. Department of Applied Physics, Wuhan University of Science and Technology,
    Wuhan 430081, China
  • Received:2005-12-26 Revised:2006-12-21 Online:2008-07-20 Published:2008-07-20
  • Contact: Shao Liang

Abstract:

The actions of the Hamiltonian constraint onto the members of the extended knot families {ψi}22 , {ψi}34 and {ψi}46 , and the check of their invariance under the Mandelstam identities are given in the extended loop representation of loop quantum gravity.

Key words: Loop gravity, extended knot families, Hamiltonian constraint, Mandelstam identities

CLC Number: 

  • 83B14
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