Geometric Phase in Vacuum Instability:APPLICATIONS in Quantum Cosmology

Details Geometric Phase in Vacuum Instability:APPLICATIONS in Quantum Cosmology Geometric Phase in Vacuum Instability:APPLICATIONS in Quantum Cosmology

1993-06-24

arxiv.org/abs/gr-qc/9306028v1

Phys.Rev.D48:5746-5750,1993

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 Pages, Plain TeX, IUCAA-18/93

Scientific paper

10.1103/PhysRevD.48.5746

Three different methods viz. i) a perturbative analysis of the Schr\"odinger equation ii) abstract differential geometric method and iii) a semiclassical reduction of the Wheeler-Dewitt equation, relating Pancharatnam phase to vacuum instability are discussed. An improved semiclassical reduction is also shown to yield the correct zeroth order semicalssical Einstein equations with backreaction. This constitutes an extension of our earlier discussions on the topic

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