Pair Creation by Dynamic Field Configurations

• Main Author: Hideaki, Aoyama
• Format: Others
• Language: en
• Published: 1982
• Online Access: https://thesis.library.caltech.edu/10779/9/Aoyama_H_1982.pdf; Hideaki, Aoyama (1982) Pair Creation by Dynamic Field Configurations. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/d9zm-yb94. https://resolver.caltech.edu/CaltechTHESIS:03222018-143018429 <https://resolver.caltech.edu/CaltechTHESIS:03222018-143018429>

<p>This thesis deals with the dynamics of the classical configuration of a quantum field unstable due to pair creation. The effective action method is developed first to treat such problems for a simple two-field model. Physical quantities such as pair creation probabilities are related to a complex function called the "effective configuration," which is defined to minimize the effective action. Unitarity of the S-matrix is verified at the lowest order of the weak-field approximation. At the same order, the real valued vacuum expectation value of the quantum field, named the "real configuration," is constructed in terms of the effective configuration. An integro-differential equation for the real configuration is given and is used to show that the real configuration is causal, while the effective configuration is not. Two practical applications of the effective action method are discussed. The first deals with pair creation in an anisotropic universe, and the "real geometry" is given in terms of the "effective geometry" in the small anisotropy limit. The second deals with expanding vacuum bubbles. Corresponding to three possible situations, three kinds of field equations for each of the effective configuration and the real configuration are obtained. The behavior of the bubble is also studied by a semi-classical method, and one of the three situations is suggested to be plausible.</p>