《规范场论》2011年春季学期课程

本学期何红建老师继续开讲的《规范场论》课程。如所周知，规范场论是现代理论物理学，特别是高能物理和理论凝聚态物理中不可缺少的基础。欢迎各位有志于理论物理学研究或者对此有兴趣的同学选修。

以下是该课程的基本信息，包括上课的时间地点与课程梗概。更详细的内容请参见课程大纲
。

Time and Location:

Time: Every Friday afternoon (1:30-4:55pm).
Teaching Building No.6B, Room.202, Tsinghua University.

Chapter 1. Why Gauge Field Theories (4-6hrs)

1.1. Why Quantum Field Theories: A Modern View
1.2. Why Gauge Field Theories
1.3. Vacuum Energy, Cosmological Constant and Dark Energy
1.4. Inflation as an Effective Theory
1.5. A Condensed Matter Application: Order Parameter

Chapter 2. Symmetries and Conservation Laws (4-6hrs)

2.1. Symmetries and Currents
2.2. Lorentz and Poincare Symmetries
2.3. Weyl, Majorana and Dirac Fermions
2.4. Finite Temperature Field Theory
2.5. Brief Review of Lie Groups

Chapter 3. Symmetries and Their Breaking (8-9hrs)

3.1. Global and Local Symmetries
3.2. Gauge Invariance and Geometry
3.3. Gravity as a Gauge Theory
3.4. Spontaneous Global Symmetry Breaking
3.5. Spontaneous Gauge Symmetry Breaking
3.6. Superconductivity as a Higgs Phenomenon

Chap.4. Path IntegralQuantization:Gauge Fields (6-8hrs)

4.1. Faddeev-Popov Quantization Method
4.2. BRST Symmetry and BRST Quantization
4.3. Ward-Takahashi and Slavnov-Taylor Identities

Chapter 5.Renormalization of Gauge Theories (11-13hr)

5.1. Renormalization Program
5.2. Renormalization Types and Regularization Schemes
5.3. Renormalizability and Gauge Invariance
5.4. Renormalization Group (RG)
5.5. Renormalization of Non-Abelian Gauge Theory at One-Loop
5.6. Asymptotic Freedom of Non-Abelian Gauge Theory
5.7. Background Field Method and Application to beta-Function

Chapter 6. Anomalies (4-6hrs)

6.1. Chiral Anomalies
6.2. Path Integral Formulation of Chiral Anomalies
6.3. Gauge Anomaly Cancellation Condition
6.4. Scale Anomaly

Chapter 7. Electroweak Standard Model & Beyond (12hr)

7.1. Structure of the Standard Model
7.2. The Standard Model Lagrangian
7.3. R_\xi Gauge Quantization and Feynman Rules
7.4. Higgs Mechanism and Equivalence Theorem
7.5. WW Scattering and Unitarity Bound
7.6. Radiative Corrections
7.7. Dark Matter and Particle Physics

Advanced Topics and Applications:

Standard Model: Electroweak Interaction, Neutrino Masses
Nonperturbative Aspects
Supersymmetry and Gauge Unification †
Perturbative Gravity †
Application to Cosmologies *
Applications to Condensed Matter Physics *