Gravitons and Loops

Details Gravitons and Loops Gravitons and Loops

1992-02-15

arxiv.org/abs/hep-th/9202054v1

Phys.Rev.D44:1740-1755,1991

Physics

High Energy Physics

High Energy Physics - Theory

40 pages

Scientific paper

10.1103/PhysRevD.44.1740

The recently proposed loop representation, used previously to find exact solutions to the quantum constraints of general relativity, is here used to quantize linearized general relativity. The Fock space of graviton states and its associated algebra of observables are represented in terms of functionals of loops. The ``reality conditions'' are realized by an inner product that is chiral asymmetric, resulting in a chiral asymmetric ordering for the Hamiltonian and in an asymmetric description of the left and right handed gravitons. This chirally asymmetric formulation depends on a splitting of the linearized field into self-dual and anti-self dual parts rather than into positive and negative frequency parts; as the former, but not the latter, is meaningful away from flat backgrounds this is expected to be useful in connecting the nonperturbative theory to the linearized theory. The formalism depends on an arbitrary ``averaging'' function that controls certain divergences, but does not appear in the final physical quantities. Inspite of these somewhat unusual features, the loop quntization presented here is completely equivalent to the standard quantization of linearized gravity.

Affiliated with

Also associated with

No associations

Rating

Gravitons and Loops 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 Gravitons and Loops, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gravitons and Loops will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-102829