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Extended Loops: A New Arena for Nonperturbative Quantum Gravity

C. Di Bartolo·R. Gambini·J. Griego·J. Pullin
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Abstract

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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C. Di Bartolo, R. Gambini, J. Griego, J. Pullin. 1993-12-17. Extended Loops: A New Arena for Nonperturbative Quantum Gravity. https://doi.org/10.1103/physrevlett.72.3638

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