ECTS credits ECTS credits: 3
ECTS Hours Rules/Memories Student's work ECTS: 51 Hours of tutorials: 3 Expository Class: 9 Interactive Classroom: 12 Total: 75
Use languages Spanish, Galician
Type: Ordinary subject Master’s Degree RD 1393/2007 - 822/2021
Departments: Particle Physics
Areas: Theoretical Physics
Center Faculty of Physics
Call: Second Semester
Teaching: With teaching
Enrolment: Enrollable | 1st year (Yes)
This course is a continuation of the course Quantum Field Theory, linked to the orientation of Particle Physics. The main objective is the study of non-perturbative aspects of quantum field theory, especially in connection with the quantum dynamics of gauge theories. The main topics to study are anomalies and their implications, as well as the different solitonic solutions and their connection with the non-perturbative structure of field theories. An introduction to supersymmetry is also included.
Students who have taken this subject may:
-Understand the quantum structure of quantum field theories in various dimensions, beyond their perturbative structure.
-To delve into the physical implications of the quantization of gauge theories.
1. Phases of gauge theories. Characterization of confinement. Wilson and ‘t Hooft loops. The `t Hooft limit and the 1/N expansion.
2. Chiral anomalies in two and four dimensions. Schwinger model. Fujikawa method and triangle diagrams. Application to QCD and the standard model. Topological aspects of the anomalies.
3. Solitons in field theory. Monopoles. Vortices. Instantons and theta vacuum.
4. Introduction to supersymmetry: Superspace and construction of supersymmetric Lagrangians.
Lecture notes (available online, covering all contents).
M. Shifman, Advanced topics in quantum field theory, Cambridge U. P., 2012.
S. Weinberg, The quantum theory of fields, vol. 2, Cambridge U. P., 1996.
M. E. Peskin y D. V. Schroeder, An Introduction to Quantum Field Theory, Addison-Wesley, 1995.
R. Bertlmann, Anomalies in quantum field theory, Oxford U. P., 1996.
E.J. Weinberg, Classical solutions in Quantum Field Theory, Cambridge University Press, 2012.
R. Rajaraman, Solitons and instantons, North-Holland, 1982.
J. Greensite, An introduction to the confinement problem, Springer 2011.
J. Wess, J. Bagger, Supersymmetry and supergravity, Princeton U. P., 1992.
In addition to the basic (CB6-CB10), general (CG1-CG5) and transversal (CT1-CT2) skills specified in the degree verification report, students will acquire the following specific skills for this course:
CE7: Competence to use the main computational tools and experimental tecniques of particle and nuclear physics.
CE8: Understanding the structure of matter in the low energy regime and its characterization.
The classroom hours will be taught according to the official calendar of the Master, in which the contents of the subject will be explained, using all the audiovisual means available, introducing illustrative and/or clarifying exercises and problems. The students will be supplied with a material that includes both the development of the theoretical content and the statements of exercises and problems. The corresponding tutoring hours will be available, upon request and by appointment. The class notes will serve as support for the study. Exercises will be proposed that the student must solve and, where appropriate, deliver.
This course does not include taking a final exam for the first evaluation opportunity. Instead, the evaluation system will combine a continuous evaluation, which will consist of carrying out exercises and problems that the student will deliver, and an additional control to evaluate the global competences that will account for up to a 30% of the final grade. For the second evaluation opportunity there will be a conventional final exam on the official dates set by the center. Continuous assessment will be valid only for the first opportunity and will not be retained for subsequent courses.
In cases of fraudulent performance of exercises or tests, the provisions of the "Regulations for the evaluation of student academic performance and review of grades" will apply:
Theory: 20h.
Seminar: 10h.
Tutorials: 1h.
Personal work: 44h.
Total student work: 75h.
It is strongly recommended to have followed the optional course Quantum Theory of Fields of the Degree in Physics.
Jose Luis Miramontes Antas
- Department
- Particle Physics
- Area
- Theoretical Physics
- Phone
- 881814057
- jluis.miramontes [at] usc.es
- Category
- Professor: University Professor
Riccardo Borsato
Coordinador/a- Department
- Particle Physics
- Area
- Theoretical Physics
- riccardo.borsato [at] usc.es
- Category
- Researcher: Ramón y Cajal
| Tuesday | |||
|---|---|---|---|
| 13:00-14:00 | Grupo /CLE_01 | Spanish | Classroom 4 |
| Wednesday | |||
| 13:00-14:00 | Grupo /CLE_01 | Spanish | Classroom 4 |
| Thursday | |||
| 13:00-14:00 | Grupo /CLE_01 | Spanish | Classroom 4 |
| Friday | |||
| 13:00-14:00 | Grupo /CLE_01 | Spanish | Classroom 4 |
| 05.26.2025 10:00-14:00 | Grupo /CLE_01 | Classroom 5 |
| 06.23.2025 12:00-14:00 | Grupo /CLE_01 | Classroom 7 |