課程大綱

課程資訊

課程名稱

量子場論一

QUANTUM FIELD THEORY (I)

開課學期

97-1

授課對象

理學院天文物理研究所

授課教師

趙挺偉

課號

Phys8017

課程識別碼

222 D1670

班次

學分

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

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/971QFT_I

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課程概述

Description 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 part (II) of the textbook

課程要求

預期每週課後學習時數

Office Hours

每週四 14:00~16:00

指定閱讀

參考書目

評量方式
(僅供參考)

No.	項目	百分比	說明
1.	homework	70%
2.	final exam	30%

課程進度

週次	日期	單元主題
第1週	2008/09/18	Relativistic QM, Lorentz Invariance
第2週	2008/09/25	Canonical quantization of scalar fields, Spin-Statistics Theorem, The LSZ reduction formula
第3週	2008/10/02	Path Integrals in Quantum Mechanics, Path Integrals in Quantum Field Theory
第4週	2008/10/09	The path integral for interacting field theory
第5週	2008/10/16	Scattering amplitudes, Feynman rules, and cross sections
第6週	2008/10/23	The Lehmann-Kallen form of the exact propagator, One-loop correction to the propagator, and in LK form.
第7週	2008/10/30	Loop correction to the vertex, 1IP vertices, High order corrections and renormalizability, Perturbation theory to all orders, 2-particle elastic scattering at one-loop order.
第8週	2008/11/6	The quantum action, Continuous symmetries and conserved currents, Discrete symmetries.
第9週	2008/11/13	Nonabelian symmetries, Unstable particles and resonances, Infrared divergences.
第10週	2008/11/20	Renormalization schemes, The renormalization group.
第11週	2008/11/27	Spontaneous symmetry breaking, Goldstone theorem
第12週	2005/12/4	Representations of the Lorentz group, Left- and Right-handed spinor fields.
第13週	2008/12/11	Lagrangians for spinor fields, Canonical quantization of spinor fields
第14週	2008/12/18	Spin technology, canonical quantization of spinor fields.
第15週	2008/12/25	Free fermion propagator, Path integral formulation of fermion field
第16週	2009/01/08	Parity, time reversal, and charge conjugation; LSZ reduction formula for spin 1/2 fields.