On the Schroedinger Representation for a Scalar Field on Curved Spacetime

Details On the Schroedinger Representation for a Scalar Field on Curved Spacetime On the Schroedinger Representation for a Scalar Field on Curved Spacetime

2002-07-24

arxiv.org/abs/gr-qc/0207088v1

Phys.Rev. D66 (2002) 085025

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, Revtex, no figures

Scientific paper

10.1103/PhysRevD.66.085025

It is generally known that linear (free) field theories are one of the few QFT that are exactly soluble. In the Schroedinger functional description of a scalar field on flat Minkowski spacetime and for flat embeddings, it is known that the usual Fock representation is described by a Gaussian measure. In this paper, arbitrary globally hyperbolic space-times and embeddings of the Cauchy surface are considered. The classical structures relevant for quantization are used for constructing the Schroedinger representation in the general case. It is shown that in this case, the measure is also Gaussian. Possible implications for the program of canonical quantization of midisuperspace models are pointed out.

Affiliated with

Also associated with

No associations

Rating

On the Schroedinger Representation for a Scalar Field on Curved Spacetime 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 On the Schroedinger Representation for a Scalar Field on Curved Spacetime, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Schroedinger Representation for a Scalar Field on Curved Spacetime will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-293615