量子場論(三)

週次計畫

週次	主題
第 1 週	(A) Introduction to Chiral Gauge Theories (B) Euclidean Solutions (C) Wilson Loop and Area law
第 2 週	(A)Differential forms (B)Gauge fields written as differential forms (C)Chern-Simons Theories
第 3 週	(A) Hamiltonian Formalism of constrained system (B) Hamiltonian Formalism of Abelian Gauge theories (C) Hamiltonian Formalism of Non-Abelian Gauge theories.
第 4 週	(A) Faddeev-Popov Gauge fixing (B) Feynman rules of gauge theories (C) Anatomy of loop diagrams of Gauge field theories
第 5 週	(A) Gribov ambiguity (B) Gribov-Zwanzinger action (C) Refined Gribov-Zwanzinger action
第 6 週	(A) Fermion self-energy (B) Vacuum Polarization (C) Vertex correction
第 7 週	(A) IR divergence (B) Anomalous magnetic moment g-2 (C) Lamb shift of hydrogen
第 8 週	(A) RG equation of Gauge Theories (B) Background Field Method (C) Application of Background Field Gauge
第 9 週	(A) Ward-Takahashi identity (B) BRST transformation (C) Proof of renormalizability
第 10 週	(A) Chiral anomaly in 2D QED (B) Triangle diagrams: Pauli-Villars regularization (C) Triangle diagrams: Dimension regularization
第 11 週	(A) Fujikawa approach: Cut-off regulator (B) Fujikawa approach: Zeta regularization (C) Chiral anomaly and index theorem
第 12 週	(A) Anomaly in chiral non-Abelian gauge theory (B) Wess-Zumino consistency condition (C) Global anomaly
第 13 週	(A)t’Hooft matching condition (B)Anomaly and Goldstone bosons (C)Wess-Zumino-Witten interaction
第 14 週	(A) Magnetic monopole (B) Homotopy group (C) ‘t Hooft-Polyakov monopole
第 15 週	(A)Instanton (B) ADHM construction: SU(2) case (C) ADHM construction: General case
第 16 週	(A)Higher-form symmetry:Introduction (B)Higher-from symmetry:Maxwell Theory (C)Higher-from symmetry:Non-Ableian Theories