## 基本素養 Basic Literacy

To appredate the humanitles, cultivating talent with global perspectives, and to express social concern.

with respect to academic ethics and integrity, to equip oneself with a scientific attitude of logical thinking, rational judgement, discipline and practical, cooperation and innovation.

## 核心能力 Competence

Basic knowledge of Physics

To conduct an experiment, analyze data information and to explain the results of scientific experiments

programing capability

## 課程概述 Course Description

I. Introduction II. Quantum Dynamics: Canonical Quantization and the Photon. III. Path Integral Quantization of Scalar Field and the Condition of Lorentz Covariance. IV. The S matrix of QFT: Feynman Rules and Scattering Amplitudes. V. Loop Calculations and Renormalization. VI. Quantization of Fermions and QED.

## 課程學習目標 Course Objectives

• 了解Lorentz Group下的representation, 利用對稱性討論連續性體系的性質
• 了解如何將相對論性的連續性體系量子化、 Feynman diagrams的計算
• 探討重整化、規範場論
• ## 課程進度 Course Outline

週次 Week進度說明 Progress Description
1Chapter 7. The Lagrangian densities of Klein-Gordon and Dirac Equations, commutation relations of boson and fermionic fields
2Chapter 8. Noether's Theorem for field systems,
3Chapter 8. C,P,T, CP, CPT transformations
4Chapter 9. Interacting field theories: \phi^3 theory as an illustrator, relativistic S-matrix
5Chapter 9. Relativistic scattering and decay rate, Feynman rules for \phi^3 interaction
6Chapter 10. QED1
7Chapter 10. QED2
8Chapter 10. QED3
9Chapter 11. Loops: Wick's Theory
10Chapter 11. UV divergence, Loop integrals, and dimensional regularization
11Chapter 11. Vertex corrections, charge renormalization, , Ward-Takahashi identity
12Chapter 13. Abelian and non-Abelian Gauge invariance
13Chapter 13. Yang-Mills Theories, sigma model
14Chapter 13. Spontaneous symmetry breaking, non-linear sigma model
15Chapter 13. Chiral symmetry breaking and PCAC
16Chapter 16. Renormalization
17Chapter 9. Renormalization
18期末考
以上每週進度教師可依上課情況做適度調整。The schedule may be subject to change.

## 有關課程其他調查 Other Surveys of Courses

1.本課程是否規劃業界教師參與教學或演講?
Is there any industry specialist invited in this course? How many times?
2.本課程是否規劃含校外實習(並非參訪)?
Are there any internships involved in the course? How many hours?