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Title:Line bundles and integrality conditions in quantum mechanics and quantum field theory
Author(s):Choi, Dae Gyu
Doctoral Committee Chair(s):Kogut, John B.
Department / Program:Physics
Discipline:Physics
Degree:Ph.D.
Genre:Dissertation
Subject(s):line bundles
integrality conditions
quantum mechanics
quantum field theory
curvature terms
flat connection terms
torsion
Abstract:A complete theory for the line bundle structure in quantum mechanics and quantum field theory is given. This includes a general method for constructing curvature terms and flat connection terms. The necessary and sufficient condition for the existence of the integrality condition is obtained. The role of torsion parts in the first homology group of the configuration space is clarified. A possible extension to the higher dimensional vector bundle and its physical meanings are considered, too. Finally many physically interesting applications are given to illustrate our theory_ In particular, the local and global anomalies and other related topics including Berry's phase are discussed.
Issue Date:1988
Genre:Dissertation / Thesis
Type:Text
Language:English
URI:http://hdl.handle.net/2142/23917
Rights Information:1988 Dae Gyu Choi
Date Available in IDEALS:2011-05-17
Identifier in Online Catalog:1565933


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