1993/12/17 by C. Di Bartolo, Cayetano Di Bartolo, R. Gambini +5 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevlett.72.3638
published as Phys.Rev.Lett. 72 (1994) 3638-3641 · 12pp, Revtex, no figures, CGPG-93/12-1
arxiv created 1993/12/17 · openalex publication_date 1994/06/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We propose a new representation for gauge theories and quantum gravity. Alternatively, it can be viewed as a new framework for doing computations in the loop representation. It is based on the use of a novel mathematical structure that extends the group of loops into a Lie group. This extension allows the use of functional methods to solve the diffeomorphism and Hamiltonian constraint equations. It puts in a precise framework some of the regularization problems of the loop representation. It has practical advantages in the search for quantum states. Making use of it we are able to find a new solution to the Wheeler-DeWitt equation that reinforces the conjecture that the Jones polynomial is a quantum state of nonperturbative quantum gravity.