Self Excitation of the Tunneling Scalar Field in False Vacuum Decay

Details Self Excitation of the Tunneling Scalar Field in False Vacuum Decay Self Excitation of the Tunneling Scalar Field in False Vacuum Decay

1995-07-04

arxiv.org/abs/gr-qc/9507006v1

Phys.Rev.D53:2045-2061,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

24 pages, uuencoded compressed postscript file

Scientific paper

10.1103/PhysRevD.53.2045

A method to determine the quantum state of a scalar field after $O(4)$-symmetric bubble nucleation has been developed recently. The method has an advantage that it concisely gives us a clear picture of the resultant quantum state. In particular, one may interpret the excitations as a particle creation phenomenon just as in the case of particle creation in curved spacetime. As an application, we investigate in detail the spectrum of quantum excitations of the tunneling field when it undergoes false vacuum decay. We consider a tunneling potential which is piece-wise quadratic, hence is simple enough to allow us an analytical treatment. We find a strong dependence of the excitation spectrum upon the shape of the potential on the true vacuum side. We then discuss features of the excitation spectrum common to general tunneling potentials not restricted to our simple model.

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