| First cycle degree courses | Second cycle degree courses | Single cycle degree courses |
| School of Science | ||
| PHYSICS | ||
Course unit
QUANTUM FIELD THEORY
SCP7081702, A.A. 2019/20
Information concerning the students who enrolled in A.Y. 2019/20
QUANTUM FIELD THEORY
SCP7081702, A.A. 2019/20
Information concerning the students who enrolled in A.Y. 2019/20
Information on the course unit
| Degree course |
Second cycle degree in PHYSICS SC2382, Degree course structure A.Y. 2017/18, A.Y. 2019/20 |
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|---|---|---|
| Degree course track | PHYSICS OF THE FUNDAMENTAL INTERACTIONS [001PD] | |
| Number of ECTS credits allocated | 6.0 | |
| Type of assessment | Mark | |
| Course unit English denomination | QUANTUM FIELD THEORY | |
| Website of the academic structure | http://physics.scienze.unipd.it/2019/laurea_magistrale | |
| Department of reference | Department of Physics and Astronomy | |
| Mandatory attendance | No | |
| Language of instruction | English | |
| Branch | PADOVA | |
| Single Course unit | The Course unit can be attended under the option Single Course unit attendance | |
| Optional Course unit | The Course unit can be chosen as Optional Course unit |
Lecturers
| Teacher in charge | STEFANO GIUSTO | FIS/02 |
|---|
Mutuated
| Course unit code | Course unit name | Teacher in charge | Degree course code |
|---|---|---|---|
| SCP7081702 | QUANTUM FIELD THEORY | STEFANO GIUSTO | SC2382 |
ECTS: details
| Type | Scientific-Disciplinary Sector | Credits allocated | |
|---|---|---|---|
| Educational activities in elective or integrative disciplines | FIS/02 | Theoretical Physics, Mathematical Models and Methods | 6.0 |
Course unit organization
| Period | Second semester |
|---|---|
| Year | 1st Year |
| Teaching method | frontal |
| Type of hours | Credits | Teaching hours |
Hours of Individual study |
Shifts |
|---|---|---|---|---|
| Lecture | 6.0 | 48 | 102.0 | No turn |
| Start of activities | 02/03/2020 |
|---|---|
| End of activities | 12/06/2020 |
| Show course schedule | 2019/20 Reg.2017 course timetable |
| Prerequisites: | Relativistic quantum mechanics. Classical filed equations and canonical quantization of the scalar and fermionic fields. Basic QED. |
| Target skills and knowledge: | The path integral formulation of quantum mechanics and of relativistic field theories and its applications to the perturbative solution of scalar field theories and quantum electrodynamics. Basic conceptual and technical notions of renormalization and the renormalization group. |
| Examination methods: | The examination is oral and it will consist of the discussion of one of the problems assigned during the course and of some general questions on the topics of the course, including the derivation of the main results. |
| Assessment criteria: | Knowledge and understanding of the path integral formulation of quantum field theories in the perturbative approximation, and the ability to apply the general concepts to compute simple physical quantities in scalar field theory and quantum electrodynamics. |
| Course unit contents: | Path integrals in quantum mechanics and its generalization to relativistic quantum field theories. Correlation functions and their euclidean continuation. Relation between correlation functions and the S-matrix: the Lehmann-Symanzik-Zimmermann reduction formula. Equivalence of the path-integral and operator formalism.
Self-interacting scalar field theory: the perturbative expansion, functional derivation of the Feynman rules, generating functions and effective action. The fermionic path-integral. The definition of the path-integral for gauge theories: QED. Divergences in quantum field theories. Dimensional regularization. Counterterms and renormalization. One-loop renormalization for the scalar field theory with quartic coupling and for QED. An introduction to renormalization at higher loops. The Renormalization Group: computation of the beta-function and of the anomalous dimension in scalar field theory and QED. The role of symmetries: Ward identities, gauge symmetries, the Ward-Takahashi identity in QED. Renormalization and the floating cut-off: an introduction to the Wilson-Polchinski equation. |
| Planned learning activities and teaching methods: | Lectures and weekly assignments. |
| Textbooks (and optional supplementary readings) |
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