Canonical and Path-Integral Quantization of String Cosmology Models
We discuss the quantization 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 was first pointed out in previous investigations.
M. Cavaglia and C. Ungarelli, "Canonical and Path-Integral Quantization of String Cosmology Models," Classical and Quantum Gravity, vol. 16, no. 4, pp. 1401-1415, Institute of Physics - IOP Publishing, Apr 1999.
The definitive version is available at https://doi.org/10.1088/0264-9381/16/4/028
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