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PHY452 Elementary Particle Theory

General Information

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

Dr. Gioacchino Piazza  (Y36 J42 )   Arianna Tinari ( 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)
  • 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 17.09.25)

Wednesday 10:15-12:00 in Y27-H-52

Friday 10:15-12:00 in Y13-L-11/13

Exercises (start 19.09.25)

Friday 14:00-15:45 in Y13-L-11/13

Lectures

Date Subject Notes  
17.09.25 1. Introduction & Preliminaries Notes 1.1 (PDF, 3 MB)  
19.09.25 1. Introduction & Preliminaries Notes 1.2 (PDF, 4 MB)  
24.09.25 2. Quantization of the Scalar Field Notes 2.1 (PDF, 4 MB)  
26.09.25 2. Quantization of the Scalar Field Notes 2.2 (PDF, 3 MB)  
01.10.25 3.1 The Dirac Equation Notes 3.1 (PDF, 234 KB)  
03.10.25 3.1 The Dirac Equation
08.10.25 3.2 Quantization of the Dirac field Notes 3.2 (PDF, 848 KB)  
10.10.25

3.2 Quantization of the Dirac field

4.1 Quantization of the E.M. field

Notes 3.3 (PDF, 1 MB)

Notes 4.1 (PDF, 480 KB)

 
15.10.25 4.2 Quantization of the E.M. field Notes 4.2 (PDF, 1 MB)  
17.10.25 5.1 Interacting fields Notes 5.1 (PDF, 3 MB)  
22.10.25 5.2 Interacting fields Notes 5.2 (PDF, 3 MB)  
24.10.25

5.3 Interacting fields

6.1 QED

Notes 5.3 (PDF, 1 MB)

Notes 6.1 (PDF, 1 MB)

 
29.10.25 6.2 QED Notes 6.2 (PDF, 1 MB)  
31.10.25 6.3 QED Notes 6.3 (PDF, 1 MB)  
05.11.25 7.1 Elements of Renormalization Notes 7.1 (PDF, 1 MB)  
07.11.25 7.2 Elements of Renormalization Notes 7.2 (PDF, 1 MB)  
12.11.25

8.1 QCD

Notes 8.1 (PDF, 2 MB)  
14.11.25

8.2 QCD

Notes 8.2 (PDF, 1 MB)

 

19.11.25

8.3 QCD

Notes 8.3 (PDF, 2 MB)

 
21.11.25

8.4 QCD

Notes 8.4 (PDF, 3 MB)  
26.11.25 8.5 QCD Notes 8.5 (PDF, 1 MB)  
28.11.25

8.6 QCD

Notes 8.6 (PDF, 1 MB)  
3.12.25 9.1 Weak interactions and the Standard Model Notes 9.1 (PDF, 4 MB)  
5.12.25 9.2 Weak interactions and the Standard Model Notes 9.2 (PDF, 2 MB)  
10.12.25 9.3 Weak interactions and the Standard Model Notes 9.3 (PDF, 2 MB)  
12.12.25 9.4 Weak interactions and the Standard Model Notes 9.4 (PDF, 2 MB)  
17.12.25

9.2 Weak interactions and the Standard Model

[zoom recording]

Notes 9.5 (PDF, 2 MB)  

 

Typed Lecture Notes

Lecture notes (PDF, 909 KB) covering chapters 1-7 

 

Exercises

Text   Given on To hand on Solution 

Sheet 01 (PDF, 173 KB)

  Wed 17.09.25 Fri 19.09.25

Solution 01 (PDF, 299 KB)

Sheet 02 (PDF, 200 KB)   Wed 24.09.25 Fri 26.09.25 Solution 02 (PDF, 228 KB)
Sheet 03 (PDF, 208 KB)   Wed 01.10.25 Fri 03.10.25

Solution 03 (PDF, 232 KB)

Sheet 04 (PDF, 193 KB)   Wed 08.10.25 Fri 10.10.25 Solution 04 (PDF, 217 KB)

Sheet 05 (PDF, 182 KB)

  Wed 15.10.25 Fri 17.10.25

Solution 05 (PDF, 221 KB)

Sheet 06 (PDF, 187 KB)

  Wed 22.10.25 Fri 24.10.25 Solution 06 (PDF, 249 KB)
Sheet 07 (PDF, 191 KB)   Wed 29.10.25 Fri 31.10.25 Solution 07 (PDF, 260 KB)
Sheet 08 (PDF, 178 KB)   Wed 5.11.25 Fri 7.11.2025 Solution 08 (PDF, 236 KB)
Sheet 09 (PDF, 166 KB) x2   Wed 12.11.25 Fri 14.11.2025

Solution 09 (PDF, 197 KB)

Sheet 10 (PDF, 267 KB)   Wed 26.11.25 Fri 28.11.2025

Solution 10 (PDF, 322 KB)

Sheet 11 (PDF, 192 KB)   Wed 10.12.25 Fri 12.12.2025

Solution 11 (PDF, 202 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)