On the Duru-Kleinert path integral in quantum cosmology

1998/11/01 by M. A. Jafarizadeh, F. Darabi, A. R. Rastegar +1 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc

paper · pdf · doi:10.1016/s0375-9601(98)00595-7

published as Phys.Lett. A248 (1998) 19-24 · 9 pages, LaTeX

openalex publication_date 1998/11/01 · arxiv created 1998/11/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 ℏ.

Citations

• Fate of the false vacuum. II. First quantum corrections
• Dynamics of the dissipative two-state system

Cited by

• Tunneling inΛdecaying cosmologies and the cosmological constant problem
• ONE-LOOP QUANTUM COSMOLOGICAL CORRECTION TO THE GRAVITATIONAL CONSTANT IN THE CLOSED FRIEDMANN–ROBERTSON–WALKER UNIVERSE