Tunnelling geometries II. Reduction methods for functional determinants
A.O.Barvinsky
TL;DR
This paper presents reduction algorithms for functional determinants of differential operators on various topological manifolds, aiding calculations in quantum gravity and cosmology.
Contribution
It introduces new reduction methods for functional determinants applicable to different topologies, advancing computational techniques in quantum gravity.
Findings
Effective algorithms for functional determinants on diverse manifolds
Application to no-boundary wavefunction calculations
Enhanced partition function computations in tunnelling geometries
Abstract
The reduction algorithms for functional determinants of differential operators on spacetime manifolds of different topological types are presented, which were recently used for the calculation of the no-boundary wavefunction and the partition function of tunnelling geometries in quantum gravity and cosmology.
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