北京雁栖湖应用数学研究院 北京雁栖湖应用数学研究院

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关于我们
院长致辞
理事会
协作机构
参观来访
人员
管理层
科研人员
博士后
来访学者
行政团队
学术研究
研究团队
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讨论班
招生招聘
教研人员
博士后
学生
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住宿
交通
配套设施
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资料下载
清华大学 "求真书院"
清华大学丘成桐数学科学中心
清华三亚国际数学论坛
上海数学与交叉学科研究院
BIMSA > The Quantum Field Theory I \(ICBS\)
The Quantum Field Theory I
This is a course on Introduction to quantum field theory, normally taught as a first semester of quantum field theory for physics graduate students.
Professor Lars Aake Andersson
讲师
Hrachya Babujyan
日期
2024年10月15日 至 12月09日
位置
Weekday Time Venue Online ID Password
周四 15:20 - 16:55 A3-2-303 Zoom 16 468 248 1222 BIMSA
周一 13:30 - 15:05 A3-2-303 Zoom 16 468 248 1222 BIMSA
修课要求
Basic knowledge of quantum mechanics and classical electrodynamics.
课程大纲
The major themes of the course are the basic fundamental concepts and building blocks of modern quantum field theory.
A. Field Theory
1.The Introduction.
The birth of the Quantum Field Theory.
2.The microscopic theory of radiation.
Blackbody radiation. Einstein coefficients. Quantum Field Theory.
3.Lorenz Invariance and second quantization.
Lorenz invariance. Classical plane waves as oscillators. Second quantization.
4.Classical Field theory.
Hamiltonians and Lagrangians. The Euler-Lagrange Equations. Noether’s theorem. Coulomb’s law. Green’s functions.
5.Old-fashioned perturbation theory.
Lippman-Schwinger equation. Early infinities.
6.The Cross sections.
Non-relativistic limit. Electron positron Scattering.
7.The S-matrix and time-ordered products.
The LSZ reduction formula. The Feynman propagator.
8. Feynman rules.
Lagrangian derivation. Hamiltonian derivation. Momentum-Space. F1eynman rules. Examples. Normal ordering and Wick’s theorem.

B. Quantum Electrodynamics
9.Spin 1 and gauge invarian6ce.
Unitary representations of the Poincare group. Embedding particles into fields. Covariant derivatives. Quantization and the Ward identity. The photon propagator. Is gauge invariance real? Higher spin fields.
10. Scalar Quantum electrodynamics.
Quantizing complex scalar fields. Feynman rules for scalar QED. Scattering in scalar QED. Ward identity and gauge invariance. Lorenz invariance and charge conservation.
11. Spinors.
Representation of the Lorenz group. Spinor representation. Dirac matrices. Coupling to the photon. What does spin ½ mean? Majorana and Weyl fermions.
听众
Undergraduate , Advanced Undergraduate , Graduate , 博士后 , Researcher
视频公开
公开
笔记公开
公开
语言
英文
讲师介绍
Hrachya Babujian (Babujyan) received his PhD from L. D. Landau Institute of Theoretical Physics in Moscow, where he was PhD student of A.A. Belavin. The Habilitation he get in Yerevan Physics Institute (Alikhanyan National Lab) where he currently holds the title Leading Scientific Researcher. In the 1990’s he was working in Bonn University and Berlin FU where he enjoy the Mathematical Physics group of R. Schrader. He also work in Sao Carlos University (Brazil) in Brookhaven National Lab, Simons Center and Chicago University. H. Babujian’s research interests are in Integrability in 2d statistical models and 1+1 dimensional quantum field theories, 1d spin chains, conformal blocks, form factors and thermodynamics of integrable models. Now his interest is the applications of the exact form factors in 1+3 dimensional lepton-hadron scattering in small Bjorkan x case.
北京雁栖湖应用数学研究院
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No. 544, Hefangkou Village Huaibei Town, Huairou District Beijing 101408

北京市怀柔区 河防口村544号
北京雁栖湖应用数学研究院 101408

Tel. 010-60661855
Email. administration@bimsa.cn

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