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Physik-Institut

PHY452 Elementary Particle Theory

General Information

Lecturer: Prof. Gino Isidori  ( Y36 J82 )
Assistants: 

 Lukas Allwicher Nudzeim Selimovic ( Y36 J44 )
Module Code:  PHY 452
ECTS Credits: 10

Description

This course provides and introduction to Quantum Field Theory and Particle Physics Phenomenology. The main subjects are:

  • Introduction & Preliminaries (Relativistic kinematics, Classical Field Theory)
  • Quantization of the scalar field (canonical quantisation)
  • Interacting Fields (S matrix, Feynman rules, basics of path integral)
  • Dirac equation and Dirac field 
  • Quantum Electrodynamics (QED)
  • Elements of Renormalization
  • Non-Abelian gauge theories
  • Quantum Chromodynamics (QCD)
  • Spontaneous Symmetry breaking
  • The Standard Model of electroweak interactions

Timetable

Lectures (start 21.09.22)

Wednesday 10:15-12:00 in Y13-L-11/13

Friday 10:15-12:00 in Y13-L-11/13

Exercises (start 23.09.22)

Friday 14:00-15:45 in Y13-L-11/13

Lectures

Date Subject Notes
21.09.22 1. Introduction & Preliminaries Notes 1.1 (PDF, 1 MB)
23.09.22 1. Introduction & Preliminaries Notes 1.2 (PDF, 4 MB)
28.09.22 2. Quantization of the Scalar Field Notes 2.1 (PDF, 4 MB)
30.09.22 2. Quantization of the Scalar Field Notes 2.2 (PDF, 3 MB)
05.10.22 3. Interacting fields Notes 3.1 (PDF, 3 MB)
07.10.22 3. Interacting fields Notes 3.2 (PDF, 3 MB)
12.10.22

3. Interacting fields

4. The path integral formulation of QFT 

Notes 3.3 (PDF, 1 MB)

Notes 4.1 (PDF, 2 MB)
14.10.22 4. The path integral formulation of QFT  Notes 4.2 (PDF, 2 MB)
19.10.22 5. Dirac equation and Dirac Field Notes 5.1 (PDF, 231 KB)
21.10.22 5. Dirac equation and Dirac Field Notes 5.2 (PDF, 717 KB)
26.10.22

5. Dirac equation and Dirac Field

6. Quantization of the electromagneic field

Notes 5.3 (PDF, 1 MB)

Notes 6.1 (PDF, 452 KB)
27.10.22 6. Quantization of the electromagnetic field Notes 6.2 (PDF, 1 MB)
02.11.22

7. QED

7. QED

Notes 7.1 (PDF, 1 MB)

Notes 7.2 (PDF, 1 MB)
04.11.22 7. QED Notes 7.3 (PDF, 1 MB)
09.11.22 8. Elements of Renormalization Notes 8.1 (PDF, 1 MB)
11.11.22 8. Elements of Renormalization Notes 8.2 (PDF, 1 MB)
16.11.22 9. Non-Abelian gauge theories and QCD Notes 9.1 (PDF, 2 MB)
18.11.22 9. Non-Abelian gauge theories and QCD Notes 9.2 (PDF, 2 MB)
23.11.22 9. Non-Abelian gauge theories and QCD Notes 9.3 (PDF, 3 MB)
25.11.22 9. Non-Abelian gauge theories and QCD Notes 9.4 (PDF, 2 MB)
30.11.22 9. Non-Abelian gauge theories and QCD Notes 9.5 (PDF, 6 MB)
02.12.22 10. Weak interactions and the Standard Model Notes 10.1 (PDF, 3 MB)
07.12.22

10. Weak interactions and the Standard Model 

11. Spontaneous Symmetry Breaking

Notes 10.2 (PDF, 1 MB)

Notes 11.1 (PDF, 2 MB)
09.12.22 11. Spontaneous Symmetry Breaking Notes 11.2 (PDF, 2 MB)
14.12.22 10. Weak interactions and the Standard Model  Notes 10.3 (PDF, 2 MB)
16.12.22 10. Weak interactions and the Standard Model  Notes 10.4 (PDF, 2 MB)
21.12.22 10. Weak interactions and the Standard Model  Notes 10.5 (PDF, 1 MB)


 

Exercises

Text Given on To hand on Solution 
Sheet01 (PDF, 151 KB) Wed 21.09.22 Fri 23.09.22 Solution01 (PDF, 256 KB)
Sheet02 (PDF, 147 KB) Mon 26.09.22 Fri 30.09.22 Solution02 (PDF, 195 KB)
Sheet03 (PDF, 153 KB) Mon 03.10.22 Fri 07.10.22 Solution03 (PDF, 206 KB)
Sheet04 (PDF, 129 KB) Mon 10.10.22 Fri 14.10.22 Solution04 (PDF, 202 KB)
Sheet05 (PDF, 152 KB) Mon 17.10.22 Fri 21.10.22 Solution05 (PDF, 193 KB)
Sheet06 (PDF, 156 KB) Mon 24.10.22 Fri 28.10.22 Solution06 (PDF, 196 KB)
Sheet07 (PDF, 166 KB) Mon 31.10.22 Fri 11.11.22 Solution07 (PDF, 647 KB)
Sheet08 (PDF, 162 KB) Mon 14.11.22 Fri 18.11.22 Solution08 (PDF, 197 KB)
Sheet09 (PDF, 261 KB) Mon 21.11.22 Fri 02.12.22 Solution09 (PDF, 1 MB)
Sheet10 (PDF, 253 KB) Mon 28.11.22 Fri 09.12.22 Solution10 (PDF, 327 KB)
Sheet11 (PDF, 160 KB) Mon 12.12.22 Fri 16.12.22 Solution11 (PDF, 204 KB)

 

Suggested References

Mandel, F. /  Shaw, G., "Quantum Field Theory, 2nd Edition",  Wiley (2010)

Peskin, M.E. / Schroeder D.V., "An Introduction to Quantum Field Theory", Addison-Wesley (1995)