教學時程

量子場論II

因舊版課程無指定課堂作業與考試，因此統整所有作業、講義、考試內容合併列出。

課	課程單元
1	‧8.323量子場論課程一的快速復習 Lightning Review of the first QFT course, 8.323. ‧量子力學中的路徑積分Path integrals in Quantum Mechanics.
2	‧自由標量場的路徑積分Path integrals for free scalar fields. ‧電磁場量子化Quantization of the electromagnetic field.
3	‧格拉斯曼變數Grassmann variables. ‧生成泛函Generating Functional. ‧電磁場的量子化Quantization of the Electromagnetic Field.
4	‧旋量場的泛函方法Functional methods for Spinor Fields
5	‧泛函積分對稱性Symmetries in the Functional Integral 。守恆定律Conservation laws 。Noether流Noether currents 。Ward恒等式Ward Identity 。薛溫格－狄松方程組Schwinger Dyson equations
6	‧重整化方案Systematics of Renormalization
7	‧QED（量子電動力學）重整化Renormalization of QED 。BPHZ定理BPHZ Theorem ‧自發對稱破缺Spontaneous Symmetry Breaking 。分立對稱性of Discrete Symmetries 註：BPHZ定理：BPHZ為Bogliubov，Parasiuk，Hepp，Zimmermann四人名字的首字母連寫。
8	‧自發對稱破缺Spontaneous Symmetry Breaking 。連續對稱性of Continuous Symmetries ‧線性西格馬模型Linear Sigma Model 。戈德斯通定理Goldstone's Theorem ‧重整化和對稱性Renormalization and Symmetries
9	‧有效作用量Effective Action 。線性西格馬模型for the linear sigma model
10	‧有效作用量Effective Action 。作為1PI（單粒子不可約）圖的生成泛函 as a generating functional for 1PI graphs
11	‧重整化群Renormalization Group 。威爾遜方法Wilson's approach
12	‧重整化群Renormalization Group 。RG（重整化群）流RG Flow 。Callan－Symazik方程Callan Symazik Equation
13	‧重整化群Renormalization Group 。CS（Callan－Symazik）方程的解Solutions of CS Equations 。變動耦合Running Coupling 。IR（紅外）自由，漸進自由IR Freedom, Asymptotic Freedom
14	‧重整化群Renormalization Group 。維度參數演化Evolution of dimensionfull parameters 。臨界指數Critical Exponents ‧非線性西格馬模型Non-Linear Sigma Model