基本素養 Basic Literacy

具國際宏觀、社會與人文關懷的公民素養。
同理學院能力代碼B、C、D
To appredate the humanitles, cultivating talent with global perspectives, and to express social concern.
邏輯思考、理性判斷、嚴謹確實、合作創新與尊重學術倫理的科學態度。
同理學院代碼E、F、H
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

基礎物理知識
Basic knowledge of Physics
進階物理知識
advance knowledge of Physics
高階物理知識
Knowledge of Advance Physics
科學實驗、數據分析、與解釋實驗結果的能力
To conduct an experiment, analyze data information and to explain the results of scientific experiments
程式設計與軟體應用的能力
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?