Quantum Field Theory I, Summer 2021

Quantum Field Theory I (SoSe 2021)

Lectures

Tuesday, 13:30 - 15:10
Friday, 11:40 - 13:20
All lectures over zoom:
Meeting ID: 838 5551 8730
Passcode: 044834
link to the zoom meeting

Lecturer

Prof. Dr. Guy Moore

Assistant

To be determined

Course book

Quantum Field Theory by Peskin and Schroder

And/Or Srednicki (which you can download free from that page!)

NOTE that these two books use different conventions!

Therefore I am giving you a few helpful extra readings, which I will put here:

a PDF document reviewing group theory and representation theory

a PDF document reviewing the Lorentz group and its representations (Dirac algebra)

a PDF document summarizing how to jump back and forth between metric (and other) conventions

Topics

  • What is field theory; scalar theory
  • Path integrals and generating functionals
  • Interactions and Feynman diagrams
  • Spinors and Dirac equation
  • Scattering in QED
  • Loops and renormalization

Homeworks and Solutions

All homeworks will appear here as they are needed. Solutions have now been taken down.

Lecture Plan

Date Topic Reading Notes Recording
13 April What is QFT? Peskin Ch. 1

Srednicki Preface

notes, transparencies lecture 1
16 April Classical scalar fields Peskin 2.1

Srednicki 1, 2, 3

notes 2, transparencies lecture 2
20 April Classical Nöther Theorem Peskin 2.2

Srednicki 22 (just skim it)

notes 3 transparencies lecture 3
23 April Spacetime symmetries Peskin 2.2

Srednicki 2

notes 3,

First half of this review transparencies

lecture 4
27 April Free scalar field Peskin 2.3

Srednicki 3, 4

notes 4 transparencies lecture 5
30 April Particles, wave packets Peskin 2.4

Srednicki 5

notes 5 transparencies lecture 6
4 May Lehmann representation, particles Peskin 2.4, half of 7.1

Srednicki 5, 13

notes 6 transparencies lecture 7
7 May Setting up scattering Peskin 7.2, Pages from Lowell Brown's book

Srednicki 10, 11

notes 7 transparencies lecture 8
11 May The S-matrix, LSZ reduction Peskin 4.5 and 7.2

Srednicki 10, 11

notes 8 transparencies lecture 9
14 May Path integrals 1 Peskin 9.1

Srednicki 6, 7, 8

notes 9 transparencies lecture 10
18 May Path integrals, Pert. Thy Peskin 9.2, 9.3

Srednicki 9

notes 10 and notes 11 transparencies lecture 11
21 May Tree-level Scattering Peskin 4.1 to 4.6

Srednicki 10

notes 12 transparencies lecture 12
25 May Disconnected and loop diagrams Peskin 4.1 to 4.6 notes 13 transparencies lecture 13
28 May Lorentz group generators Peskin 3.1

Srednicki 33

notes 14 transparencies lecture 14
1 June Lorentz group representations Peskin 3.1, 3.2

Srednicki 34

notes 15 transparencies lecture 15
4 June Dirac equation, Gamma matrices Peskin 3.1 to 3.4

Srednicki 34, 35

notes 16 transparencies recording is two files
8 June Dirac equation, Gamma matrices Peskin 3.1 to 3.4

Srednicki 34, 35

notes 16 transparencies lecture 17
11 June Wave and hydrogenic solutions Peskin 3.1 to 3.4 notes 17 transparencies lecture 18
15 June Quantizing Dirac Peskin 3.5

Srednicki 36-39

notes 18 transparencies lecture 19
18 June Fermionic Path Integral Peskin 9.5

Srednicki 41, 42, 43

notes 19 transparencies lecture 20
22 June External state fermions; Signs and Fermions Peskin 4.7, 9.5

Srednicki 45, 46, 47

notes 20 transparencies lecture 21
25 June Continuous symmetries again Peskin 9.6 Srednicki 22, 24(optional) notes 21 transparencies lecture 22
29 June Gauge invariance, photon propagator Peskin 4.8, 9.4

Srednicki 54-58

notes 22 transparencies lecture 23
2 July Calculating: trace methods Peskin 5.1 to 5.3

Srednicki 46-48

notes 23 transparencies lecture 24
6 July Calculating: interference, crossing Peskin 5.4, 5.5

Srednicki 48

notes 24 transparencies lecture 25
9 July Higher-order: IR, collinear Peskin 6.1, 6.2

(Missing in Srednicki)

notes 25 transparencies lecture 26
13 July Higher-order: Renormalization Peskin 7.1

Srednicki 16-18, 62

notes 25 transparencies lecture 27
16 July Vertex, Self-energy, Ward-Takehashi Peskin 6.2 to 6.4, 7.4, 9.6

Srednicki 62, 63, 67,68

notes 26 notes 27 transparencies lecture 28
If requested!! Electron g-2 Peskin 6.3

Srednicki 64

notes 28
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