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Field Theoretical Description of Quantum Fluctuations in Multi-Dimensional Tunneling Approach Tanaka, Takahiro Tanaka Takahiro Sasaki, Misao Sasaki Misao Yamamoto, Kazuhiro Yamamoto Kazuhiro open access Copyright (c) 1994 The American Physical Society 420 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. American Physical Society 1994-01 eng journal article AO https://hiroshima.repo.nii.ac.jp/records/2008328 10.1103/PhysRevD.49.1039 http://dx.doi.org/10.1103/PhysRevD.49.1039 1550-7998 AA00773624 Physical Review D Physical Review D 49 2 1039 1039 1046 https://hiroshima.repo.nii.ac.jp/record/2008328/files/PhysRevD_49_1039.pdf 954.6 KB