Semiclassical approximation to supersymmetric quantum gravity
arXiv:gr-qc/0505158 · doi:10.1103/PhysRevD.72.045006
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 Schrodinger equation, and quantum gravitational correction terms to this Schrodinger 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 (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.
34 pages, clarifications added, typos corrected
References in corpus (22)
- What is the Geometry of Superspace ?
- Wheeler-DeWitt equation and Feynman diagrams
- Scale Factor Duality and Hidden Supersymmetry in Scalar--Tensor Cosmology
- Semiclassical approximation to supersymmetric quantum gravity
- Wheeler-Dewitt Metric and the Attractivity of Gravity
- Supersymmetric Quantum Cosmology --- Shaken not stirred
- Supersymmetric Homogeneous Quantum Cosmologies Coupled to a Scalar Field
- Physical States in Canonically Quantized Supergravity
- Consistency of Semiclassical Gravity
- Supersymmetric minisuperspace with non-vanishing fermion number
- Supersymmetric Quantum Mechanics for Bianchi Class A models
- Supersymmetric Quantization of Anisotropic Scalar-Tensor Cosmologies
- The Hartle-Hawking state for the Bianchi IX model in supergravity
- Quantization of the Bianchi type-IX model in N=1 Supergravity in the Presence of Supermatter
- Quantization of a Locally Supersymmetric Friedmann Model with Supermatter
- Conserved Currents in Supersymmetric Quantum Cosmology?
- Wave Function of a Supersymmetric FRW Model with Vector Fields
- The Case of the Missing Wormhole State
- Is there a problem with quantum wormhole states in N=1 Supergravity?
- Why two makes it more attractive than just with one... or Bianchi class-A models and Reissner-Nordström Black Holes in Quantum N=2 Supergravity
- Non-closure of constraint algebra in N=1 supergravity
- Inflation from Susy quantum cosmology
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