Field-theoretical description of quantum fluctuations in the multidimensional tunneling approach

Takahiro Tanaka, Misao Sasaki, Kazuhiro Yamamoto

Research output: Contribution to journalArticle

36 Citations (Scopus)

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 languageEnglish
Pages (from-to)1039-1046
Number of pages8
JournalPhysical Review D
Volume49
Issue number2
DOIs
Publication statusPublished - Jan 1 1994

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vacuum
wave functions
scalars
formalism
ground state
decay

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

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 journalArticle

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