Recent developments in quantum string cosmology

TL;DR

This paper discusses the quantisation of string cosmology models with scale factor duality, computing transition amplitudes and clarifying instanton-like behaviors using phase space and path integral methods.

Contribution

It introduces a novel quantisation approach for duality-invariant string cosmology models and analyzes transition amplitudes with new insights into instanton-like phenomena.

Findings

Transition amplitudes for cosmological models are computed.

Path integral methods clarify instanton-like behavior.

Quantisation techniques enhance understanding of string cosmology transitions.

Abstract

In this talk we discuss the quantisation of a class of string cosmology models characterised by scale factor duality invariance. The amplitudes for the full set of classically allowed and forbidden transitions are computed by applying the reduced phase space and path integral methods. In particular, 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.