# APPLICATIONS OF QUANTUM FIELD THEORY

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- Versione italiana
- Academic year
- 2022/2023
- Teacher
- ISABELLA MASINA
- Credits
- 6
- Didactic period
- Primo Semestre
- SSD
- FIS/02

#### Training objectives

- The main focus of this course is an overall description of the formal basis of the Standard Model of the fundamental interactions. This course will help students to master the technical skills necessary to perform fairly complex computations in perturbation theory, by means of Feynman diagrams. The final outcome of this course is the ability to read and understand current journal papers on the subject.
#### Prerequisites

- Students must have attended the Course on "Elements of quantum field theories" and must have mastered the topics of that course.
#### Course programme

- This course covers the following items:

- (2h) Introduction: history summary and review on Feynman diagrams in QED

- (8 h) Some relevant QED processes

- (8 h) Review of one-loop renormalization theory in QED

- (6 h) Group theory. Lie groups.

- (4 h) Gauge theories: QCD and color

- (4 h) Running coupling

- (8 h) Fermi theory and IVB theory. Gauge theories for weak interactions

- (4 h) Spontaneous symmetry breaking. Goldstone theorem. Higgs mechanism

- (8 h) The Standard Model of electro-weak interactions and its phenomenology

- (2 h) Review on beyond Standard Model theories and applications of the Standard Model to cosmology #### Didactic methods

- This course is based on lectures to be given, if appropriate, also online. Approximately 25% of all lectures will focus on solving problems of variable level of complexity, covering topics discussed in previous lectures; students are encouraged to play an active role in these lectures, e.g., by suggesting possible solutions to the problems and performing related calculations.
#### Learning assessment procedures

- In the oral exams, the student will be usually asked three or four questions, on:

i) theoretical topics discussed during the course, in order to assess the student's level of knowledge;

ii) exercises on topics covered in the course, in order to assess the student's acquired skills. #### Reference texts

- F. Mandl, G. Shaw, Quantum Field Theory

M. E: Peskin, D. V: Schroeder, An Introduction To Quantum Field Theory