Statistics – Applications
Scientific paper
Jan 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phrvd..49.1039t&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 49, Issue 2, 15 January 1994, pp.1039-1046
Statistics
Applications
25
Semiclassical Theories And Applications, Theory Of Quantized Fields, Particle-Theory And Field-Theory Models Of The Early Universe
Scientific paper
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.
Sasaki Misao
Tanaka Takahiro
Yamamoto Kazuhiro
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