Unravelling the Complexity of the Chern-Simons Gauge Theory : 천-사이몬 이론의 복잡성 규명하기

목차 (Table of Contents)

• 감사의 글
• 머릿말
• Abstract = Ⅰ
• Contents = ⅰ
• Part Ⅰ Gauge Invariant Formulation of the Chern-Simons Gauge Theory based on the Dirac-BFT formalism = 1
• Chapter 1 Introduction = 2
• Chapter 2 Physical variables of CS theory based on Dirac-BFT formalism = 7
• 2.1. Completely equivalent first class constraint system by BFT formalism = 9
• 2.2. BFT-physical variables = 11
• 2.3. Dirac-BFT physical variables = 15
• Chapter 3 Gauge independent analysis of classical Poincare' covariance = 28
• 3.1. Symmetric(Belinfante) Poincare' generators = 30
• 3.2. Canonical(No¨ether) Poincare' generators = 43
• 3.3. Poincare' transformation for DBFT - physical variables = 56
• Chapter 4 Miscellany = 64
• Chapter 5 Discussion and Conclusion = 68
• Bibliography = 71
• Part Ⅱ Operator Ordering Problem of the Nonrelativistic Chern-Simons Theory = 75
• Chapter 6 Introduction = 76
• Chapter 7 Galilei covariance in oulomb gauge = 78
• 7.1. Hamiltonian operator = 81
• 7.2. Angular momentum operator = 83
• 7.3. Linear momentum and Galilei boost operators = 85
• 7.4. Galilei Covariance = 87
• Chapter 8 Equations of motion for extended sources = 91
• Chapter 9 Ordering problem for point sources = 93
• Chapter 10 Conclusion = 96
• Bibliography = 98
• List of Publications = 101