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Title: Semiclassical approximation to supersymmetric quantum gravity

Abstract

We develop a semiclassical approximation scheme for the constraint equations of supersymmetric canonical quantum gravity. This is achieved by a Born-Oppenheimer type of expansion, in analogy to the case of the usual Wheeler-DeWitt equation. The formalism is only consistent if the states at each order depend on the gravitino field. We recover at consecutive orders the Hamilton-Jacobi equation, the functional Schroedinger equation, and quantum gravitational correction terms to this Schroedinger equation. In particular, the following consequences are found: (i) the Hamilton-Jacobi equation and therefore the background spacetime must involve the gravitino, (ii) a (many-fingered) local time parameter has to be present on super Riem {sigma} (the space of all possible tetrad and gravitino fields) (iii) quantum supersymmetric gravitational corrections affect the evolution of the very early Universe. The physical meaning of these equations and results, in particular, the similarities to and differences from the pure bosonic case, are discussed.

Authors:
; ;  [1]
  1. Institut fuer Theoretische Physik, Universitaet zu Koeln, Zuelpicher Strasse 77, 50937 Cologne (Germany)
Publication Date:
OSTI Identifier:
20711370
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 72; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.72.045006; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BORN-OPPENHEIMER APPROXIMATION; CORRECTIONS; COSMOLOGY; HAMILTON-JACOBI EQUATIONS; QUANTUM GRAVITY; SCHROEDINGER EQUATION; SEMICLASSICAL APPROXIMATION; SPACE-TIME; SUPERGRAVITY; SUPERSYMMETRY; UNIVERSE

Citation Formats

Kiefer, Claus, Lueck, Tobias, Moniz, Paulo, and Astronomy Unit, School of Mathematical Sciences, Queen Mary College, University of London, Mile End Road, London E1 4NS. Semiclassical approximation to supersymmetric quantum gravity. United States: N. p., 2005. Web. doi:10.1103/PhysRevD.72.045006.
Kiefer, Claus, Lueck, Tobias, Moniz, Paulo, & Astronomy Unit, School of Mathematical Sciences, Queen Mary College, University of London, Mile End Road, London E1 4NS. Semiclassical approximation to supersymmetric quantum gravity. United States. https://doi.org/10.1103/PhysRevD.72.045006
Kiefer, Claus, Lueck, Tobias, Moniz, Paulo, and Astronomy Unit, School of Mathematical Sciences, Queen Mary College, University of London, Mile End Road, London E1 4NS. 2005. "Semiclassical approximation to supersymmetric quantum gravity". United States. https://doi.org/10.1103/PhysRevD.72.045006.
@article{osti_20711370,
title = {Semiclassical approximation to supersymmetric quantum gravity},
author = {Kiefer, Claus and Lueck, Tobias and Moniz, Paulo and Astronomy Unit, School of Mathematical Sciences, Queen Mary College, University of London, Mile End Road, London E1 4NS},
abstractNote = {We develop a semiclassical approximation scheme for the constraint equations of supersymmetric canonical quantum gravity. This is achieved by a Born-Oppenheimer type of expansion, in analogy to the case of the usual Wheeler-DeWitt equation. The formalism is only consistent if the states at each order depend on the gravitino field. We recover at consecutive orders the Hamilton-Jacobi equation, the functional Schroedinger equation, and quantum gravitational correction terms to this Schroedinger equation. In particular, the following consequences are found: (i) the Hamilton-Jacobi equation and therefore the background spacetime must involve the gravitino, (ii) a (many-fingered) local time parameter has to be present on super Riem {sigma} (the space of all possible tetrad and gravitino fields) (iii) quantum supersymmetric gravitational corrections affect the evolution of the very early Universe. The physical meaning of these equations and results, in particular, the similarities to and differences from the pure bosonic case, are discussed.},
doi = {10.1103/PhysRevD.72.045006},
url = {https://www.osti.gov/biblio/20711370}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 4,
volume = 72,
place = {United States},
year = {Mon Aug 15 00:00:00 EDT 2005},
month = {Mon Aug 15 00:00:00 EDT 2005}
}