How the Jones Polynomial Gives Rise to Physical States of Quantum General Relativity

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dc.creatorBruegmann, Bernd
dc.creatorGambini, Rodolfo
dc.creatorPullin, Jorge
dc.date1992-03-17
dc.date.accessioned2026-07-07T12:03:43Z
dc.date.available2026-07-07T12:03:43Z
dc.descriptionSolutions to both the diffeomorphism and the hamiltonian constraint of quantum gravity have been found in the loop representation, which is based on Ashtekar's new variables. While the diffeomorphism constraint is easily solved by considering loop functionals which are knot invariants, there remains the puzzle why several of the known knot invariants are also solutions to the hamiltonian constraint. We show how the Jones polynomial gives rise to an infinite set of solutions to all the constraints of quantum gravity thereby illuminating the structure of the space of solutions and suggesting the existance of a deep connection between quantum gravity and knot theory at a dynamical level.
dc.description7pp
dc.identifierhttps://arxiv.org/abs/hep-th/9203040
dc.identifierhttp://arxiv.org/abs/hep-th/9203040
dc.identifierGen.Rel.Grav.25:1-6,1993
dc.identifierdoi:10.1007/BF00756923
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207881
dc.subjectHigh Energy Physics - Theory
dc.titleHow the Jones Polynomial Gives Rise to Physical States of Quantum General Relativity
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