課程名稱 |
量子場論一 QUANTUM FIELD THEORY (I) |
開課學期 |
96-1 |
授課對象 |
理學院 物理學研究所 |
授課教師 |
趙挺偉 |
課號 |
Phys8017 |
課程識別碼 |
222 D1670 |
班次 |
|
學分 |
3 |
全/半年 |
半年 |
必/選修 |
選修 |
上課時間 |
星期四2,3,4(9:10~12:10) |
上課地點 |
新物833 |
備註 |
總人數上限:25人 外系人數限制:5人 |
Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/961QFT_1 |
課程簡介影片 |
|
核心能力關聯 |
核心能力與課程規劃關聯圖 |
課程大綱
|
為確保您我的權利,請尊重智慧財產權及不得非法影印
|
課程概述 |
Lorentz Invariance,
Canonical Quantization of Scalar Field,
Spin-Statistics Theorem,
LSZ Reduction Formula,
Path Integral Formulation of Field Theory,
Scattering Amplitudes and Feynman Rules,
Cross Section and Decay Rates,
Lehmann-Kallen Propagator,
Loop Corrections,
1PI Vertices,
Renormalizations,
Perturbation Theory to all orders,
Two Particle Scattering,
Symmetry and Conservation Laws,
Discrete Symmetries,
Non-Abelian Symmetries,
Unstable Particles and Resonances,
Infrared Divergences,
Renormalization Group,
Effective Field Theory,
Spontaneous Symmetry Breaking.
|
課程目標 |
To cover the Part I and II
of the textbook (see below) |
課程要求 |
Each student is required to attend the lectures, to participate the discussions in class, and to work out the homework assignments. |
預期每週課後學習時數 |
|
Office Hours |
每週四 14:30~16:20 |
指定閱讀 |
|
參考書目 |
Mark Srednicki, Quantum Field Theory, Cambridge (2007)
(Errata can be found at http://www.physics.ucsb.edu/~mark/qft.html,
where you can also download a pdf file of a prepublication draft of the
textbook) |
評量方式 (僅供參考) |
No. |
項目 |
百分比 |
說明 |
1. |
Homework |
70% |
|
2. |
Final Exam |
30% |
|
|
週次 |
日期 |
單元主題 |
第1週 |
2007/09/20 |
Introduction to Relativistic Quantum Mechanics |
第2週 |
2007/09/27 |
Lorentz Invariance |
第3週 |
2007/10/04 |
Canonical Quantization of Scalar Field |
第4週 |
2007/10/11 |
Spin-Statistics Theorem,
LSZ reduction formula for scalar field |
第5週 |
2007/10/18 |
Path Integral Formulation of Quantum Mechanics |
第6週 |
2007/10/25 |
Path Integral Formulation of Quantum Field Theory |
第7週 |
2007/11/1 |
Feynman rules, Scattering amplitudes, and Cross section |
第8週 |
2007/11/8 |
Dimensional analysis, Lehmann-Kallen form of exact propagator, Loop corrections to the propagator |
第9週 |
2007/11/22 |
The one-loop correction in Lehmann-Kallen form, Loop corrections to the vertex, 1PI vertices, Higher-order corrections and renormalizability |
第10週 |
2007/12/06 |
Perturbation theory to all orders; Two particle elastic scattering in one-loop; The quantum action. |
第11週 |
2007/10/13 |
Noether Theorem, Schwinger-Dyson equation, Ward-Takahashi Identity |
第12週 |
2007/12/20 |
Discrete symmetries, Nonabelian symmetries |
第13週 |
2007/12/27 |
Infrared divergences |
第14週 |
2008/1/1 |
Renormalization Schemes |
第15週 |
2008/1/10 |
Renormalization Group |
|