Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1994-12-09
Phys.Rev. D51 (1995) 5483-5490
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
22 pages, Latex
Scientific paper
10.1103/PhysRevD.51.5483
Nicolai's theorem suggests a simple stochastic interpetation for supersymmetric Euclidean quantum theories, without requiring any inner product to be defined on the space of states. In order to apply this idea to supergravity, we first reduce to a one-dimensional theory with local supersymmetry by the imposition of homogeneity conditions. We then make the supersymmetry rigid by imposing gauge conditions, and quantise to obtain the evolution equation for a time-dependent wave function. Owing to the inclusion of a certain boundary term in the classical action, and a careful treatment of the initial conditions, the evolution equation has the form of a Fokker-Planck equation. Of particular interest is the static solution, as this satisfies all the standard quantum constraints. This is naturally interpreted as a cosmological probability density function, and is found to coincide with the square of the magnitude of the conventional wave function for the wormhole state.
Luckock Hugh
Oliwa Chris
No associations
LandOfFree
The Cosmological Probability Density Function for Bianchi Class A Models in Quantum Supergravity 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 The Cosmological Probability Density Function for Bianchi Class A Models in Quantum Supergravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Cosmological Probability Density Function for Bianchi Class A Models in Quantum Supergravity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-668868