Jones Polynomials for Intersecting Knots as Physical States of Quantum Gravity

Details Jones Polynomials for Intersecting Knots as Physical States of Quantum Gravity Jones Polynomials for Intersecting Knots as Physical States of Quantum Gravity

1992-02-05

arxiv.org/abs/hep-th/9202018v1

Nucl.Phys.B385:587-603,1992

Physics

High Energy Physics

High Energy Physics - Theory

23pp

Scientific paper

10.1016/0550-3213(92)90060-O

We find a consistent formulation of the constraints of Quantum Gravity with a cosmological constant in terms of the Ashtekar new variables in the connection representation, including the existence of a state that is a solution to all the constraints. This state is related to the Chern-Simons form constructed from the Ashtekar connection and has an associated metric in spacetime that is everywhere nondegenerate. We then transform this state to the loop representation and find solutions to all the constraint equations for intersecting loops. These states are given by suitable generalizations of the Jones knot polynomial for the case of intersecting knots. These are the first physical states of Quantum Gravity for which an explicit form is known both in the connection and loop representations. Implications of this result are also discussed.

Affiliated with

Also associated with

No associations

Rating

Jones Polynomials for Intersecting Knots as Physical States of Quantum Gravity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Jones Polynomials for Intersecting Knots as Physical States of Quantum Gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Jones Polynomials for Intersecting Knots as Physical States of Quantum Gravity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-87325