Time Gauge Fixing and Hilbert Space in Quantum String Cosmology
Marco Cavaglia`, Vittorio de Alfaro
TL;DR
This paper explores gauge fixing and the definition of a global time in quantum string cosmology, establishing a positive norm Hilbert space of states to better understand the early universe's quantum behavior.
Contribution
It introduces a method for gauge fixing and defining a global time in quantum string cosmology, leading to a well-defined Hilbert space of states.
Findings
Established a positive norm Hilbert space of states
Provided a framework for gauge fixing in quantum string cosmology
Enhanced understanding of the early universe's quantum dynamics
Abstract
Recently the low-energy effective string theory has been used by Gasperini and Veneziano to elaborate a very interesting scenario for the early history of the universe (``birth of the universe as quantum scattering''). Here we investigate the gauge fixing and the problem of the definition of a global time parameter for this model, and we obtain the positive norm Hilbert space of states.
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