Field Theoretical Description of Quantum Fluctuations in Multi-Dimensional Tunneling Approach

Physical Review D Volume 49 Issue 2 Page 1039-1046 published_at 1994-01
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Title ( eng )
Field Theoretical Description of Quantum Fluctuations in Multi-Dimensional Tunneling Approach
Creator
Sasaki Misao
Source Title
Physical Review D
Volume 49
Issue 2
Start Page 1039
End Page 1046
Abstract
We reformulate the WKB wave function for a multidimensional tunneling system, which represents the quasi-ground-state of the metastable vacuum, in a covariant manner. Then we extend the formalism to the case of field theory and develop a systematic method to construct the mode functions which determine the quantum state after tunneling. A clear interpretation of the resulting quantum state is given in the language of the conventional second quantization picture. As a simple example, we apply our method to a scalar field on the background of spatially homogeneous false vacuum decay. The resulting quantum state is found to be highly nontrivial, having some similarity with a thermal state. Some implications of the results are discussed.
NDC
Physics [ 420 ]
Language
eng
Resource Type journal article
Publisher
American Physical Society
Date of Issued 1994-01
Rights
Copyright (c) 1994 The American Physical Society
Publish Type Author’s Original
Access Rights open access
Source Identifier
[ISSN] 1550-7998
[DOI] 10.1103/PhysRevD.49.1039
[NCID] AA00773624
[DOI] http://dx.doi.org/10.1103/PhysRevD.49.1039