Print syllabusMathematical introduction to quantum field theory
General data
| Course ID: | 1100-4`MIQFT |
| Erasmus code / ISCED: |
13.205
|
| Course title: | Mathematical introduction to quantum field theory |
| Name in Polish: | Mathematical introduction to quantum field theory |
| Organizational unit: | Faculty of Physics |
| Course groups: |
(in Polish) Physics (Studies in English), 2nd cycle; courses from list "Topics in Contemporary Physics" (in Polish) Physics (Studies in English); 2nd cycle (in Polish) Przedmioty do wyboru dla doktorantów; (in Polish) Przedmioty obieralne na studiach drugiego stopnia na kierunku bioinformatyka Physics (2nd cycle); courses from list "Selected Problems of Modern Physics" Physics (2nd level); elective courses Physics, 2nd level; Mathematical and Computer Modeling of Physical Processes Physics, 2nd level; Theoretical Physics |
| ECTS credit allocation (and other scores): |
6.00
|
| Language: | English |
| Main fields of studies for MISMaP: | mathematics |
| Type of course: | elective monographs |
| Prerequisites (description): | The course is addressed primarily to students of Theoretical Physics, but it will be accessible to students of other specializations, and also to Mathematics studdents. It will not require advanced background in Mathematics. Its prerequisites are Quantum Mechanics I and Classical Mechanics, as well as elementary background on Hilbert spaces and distributions. |
| Mode: | Blended learning |
| Short description: |
The course is devoted to mathematically rigorous introduction to classical and quantum field theory. I will discuss general principles, free theories and theories interacting with external classical perturbations. This is a class of theories that allow to understand many difficult concepts nonperturbatively. The course is not intended to replace the standard course of quantum field theory where the formalism of interacting theories is developed perturbatively, usually using heuristic, not always fully satisfactory arguments. The course can be their complement. The theories discussed in the course illustrate various difficulties of quantum theory: the necessity of renormalization, non-implementability of the dynamics on the Hilbert space, infrared divergencies, problems related to gauge invariance. |
| Full description: |
Plan of the course 1. Algebraic formulation of quantum mechanics 2. Relativistic covariance and the Einstein causalit 3. Haag-Kastler axioms 4. Wightman axioms 5. Second quantization formalism 6. Elements of classical field theory 7. Klein-Gordon equation 8. Canonical commutation relations 9. Quantization of scalar field 10 Path integrals 11 Renormalization in the presence of external fields Student's work load: Lectures: 30 h -- 2ECTS Exercise classes 30 h -- 2ECTS Preparation for lectures: 30 h -- 1 ECTS Preparation for the exam: 30 h -- 1 ECTS |
| Bibliography: |
S. Weinberg: Theory of Quantum Fields C. Itzyckson, G. Zuber: Quantum field theory Jan Dereziński, https://www.fuw.edu.pl/~derezins/qft-lectures.pdf |
| Learning outcomes: |
Knowledge: Understanding of foundations of quantum field theory. Skills: Solving simple problems about quantum field theory. Attitude: Precision of thinking and striving towards deeper understanding of theoretical formalism used in physics |
| Assessment methods and assessment criteria: |
Homework problems and oral exam |
| Practical placement: |
does not apply |
Classes in period "Winter semester 2023/24" (past)
| Time span: | 2023-10-01 - 2024-01-28 |
 
MO TU W WYK
CW
TH FR |
| Type of class: |
Classes, 30 hours
Lecture, 30 hours
|
|
| Coordinators: | Jan Dereziński | |
| Group instructors: | Jan Dereziński, Pedram Karimi | |
| Students list: | (inaccessible to you) | |
| Examination: | Examination |
Copyright by University of Warsaw.
