Line bundles and integrality conditions in quantum mechanics and quantum field theory

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Physics

Year dc:date

2011

Author dc:creator

• Choi, Dae Gyu

Contributors dc:contributor

• Kogut, John B.

• line bundles
• integrality conditions
• quantum mechanics
• quantum field theory
• curvature terms
• flat connection terms
• torsion

Statement dc:rights

• 1988 Dae Gyu Choi

Language dc:language

en

Identifier

1565933

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/23917