On Duru-Kleinert Path Integral In Quantum Cosmology
M. A. Jafarizadeh, F. Darabi, A. R. Rastegar
TL;DR
This paper demonstrates how the Duru-Kleinert path integral approach can be applied to quantum cosmology, specifically for the closed FRW model, and calculates the tunneling rate with precise prefactors.
Contribution
It introduces a novel application of the Duru-Kleinert path integral method to quantum cosmology and computes tunneling rates with exact prefactors.
Findings
Path integral for closed FRW quantum cosmology derived
Tunneling rate calculated with exact prefactor
First-order dilute-instanton approximation used
Abstract
We show that the Duru-Kleinert fixed energy amplitude leads to the path integral for the propagation amplitude in the closed FRW quantum cosmology with scale factor as one degree of freedom. Then, using the Duru-Kleinert equivalence of corresponding actions, we calculate the tunneling rate, with exact prefactor, through the dilute-instanton approximation to first order in \hbar.
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