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.
| Original language | English |
|---|---|
| Pages (from-to) | 1039-1046 |
| Number of pages | 8 |
| Journal | Physical Review D |
| Volume | 49 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Jan 1 1994 |
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All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)
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Field-theoretical description of quantum fluctuations in the multidimensional tunneling approach. / Tanaka, Takahiro; Sasaki, Misao; Yamamoto, Kazuhiro.
In: Physical Review D, Vol. 49, No. 2, 01.01.1994, p. 1039-1046.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Field-theoretical description of quantum fluctuations in the multidimensional tunneling approach
AU - Tanaka, Takahiro
AU - Sasaki, Misao
AU - Yamamoto, Kazuhiro
PY - 1994/1/1
Y1 - 1994/1/1
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevD.49.1039
DO - 10.1103/PhysRevD.49.1039
M3 - Article
VL - 49
SP - 1039
EP - 1046
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 2
ER -