Canonical and path integral quantisation of string cosmology models

Abstract

We discuss the quantisation of a class of string cosmology models that are characterized by scale factor duality invariance. We compute the amplitudes for the full set of classically allowed and forbidden transitions by applying the reduce phase space and the path integral methods. We show that these approaches are consistent. The path integral calculation clarifies the meaning of the instanton-like behaviour of the transition amplitudes that has been first pointed out in previous investigations.

18 pages,2 eps figures, LaTeX2e, macro files included (epsf.tex,epsf.sty), macros of Classical and Quantum Gravity used; accepted for publication on Classical and Quantum Gravity

References in corpus (4)

• Towards a non-singular pre-big bang cosmology
• Duality and Dilaton
• Notes on Axion, Inflation and Graceful Exit in Stringy Cosmology
• Approximate Canonical Quantization for Cosmological Models

Cited by in corpus (13)

• The Pre-Big Bang Scenario in String Cosmology
• A Uniqueness Theorem for Constraint Quantization
• Canonical and quantum FRW cosmological solutions in M-theory
• Supersymmetric Quantization of Anisotropic Scalar-Tensor Cosmologies
• String cosmology versus standard and inflationary cosmology
• Low-energy graceful exit in anisotropic string cosmology backgrounds
• From Big Crunch to Big Bang: A Quantum String Cosmology Perspective
• Quantum string cosmology
• Path integral for minisuperspaces and its relation with non equivalent canonical quantizations
• Global phase time and path integral for string cosmological models
• Pre-big bang in M-theory
• Recent developments in quantum string cosmology
• Minisuperspace Models in M-theory