Stochastic quantization of Einstein gravity

Details Stochastic quantization of Einstein gravity Stochastic quantization of Einstein gravity

Feb 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phrvd..33..942r&link_type=abstract

Physical Review D (Particles and Fields), Volume 33, Issue 4, 15 February 1986, pp.942-952

Physics

46

Scientific paper

We determine a one-parameter family of covariant Langevin equations for the metric tensor of general relativity corresponding to DeWitt's one-parameter family of supermetrics. The stochastic source term in these equations can be expressed in terms of a Gaussian white noise upon the introduction of a stochastic tetrad field. The only physically acceptable resolution of a mathematical ambiguity in the ansatz for the source term is the adoption of Ito's calculus. By taking the formal equilibrium limit of the stochastic metric a one-parameter family of covariant path-integral measures for general relativity is obtained. There is a unique parameter value, distinguished by any one of the following three properties: (i) the metric is harmonic with respect to the supermetric, (ii) the path-integral measure is that of DeWitt, (iii) the supermetric governs the linearized Einstein dynamics. Moreover the Feynman propagator corresponding to this parameter is causal. Finally we show that a consistent stochastic perturbation theory gives rise to a new type of diagram containing ``stochastic vertices.''

Affiliated with

Also associated with

No associations

Rating

Stochastic quantization of Einstein 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 Stochastic quantization of Einstein gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stochastic quantization of Einstein gravity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1678923