Extended Loops: A New Arena for Nonperturbative Quantum Gravity

Details Extended Loops: A New Arena for Nonperturbative Quantum Gravity Extended Loops: A New Arena for Nonperturbative Quantum Gravity

1993-12-17

arxiv.org/abs/gr-qc/9312029v1

Phys.Rev.Lett. 72 (1994) 3638-3641

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12pp, Revtex, no figures, CGPG-93/12-1

Scientific paper

10.1103/PhysRevLett.72.3638

We propose a new representation for gauge theories and quantum gravity. It can be viewed as a generalization of the loop representation. We make use of a recently introduced extension of the group of loops into a Lie Group. This extension allows the use of functional methods to solve the constraint equations. It puts in a precise framework the regularization problems of the loop representation. It has practical advantages in the search for quantum states. We present new solutions to the Wheeler-DeWitt equation that reinforce the conjecture that the Jones Polynomial is a state of nonperturbative quantum gravity.

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