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 (100%)
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.
General Competences:
- Have a general knowledge of the non-perturbative aspects of Quantum Field Theory.
- Know how to apply the knowledge acquired in broader contexts related to their area of study.
- Have a knowledge of the location of this field in the present and future scientific panorama.
- To become familiar with the ways of disseminating results in current science.
- Acquire the ability to write scientific texts, articles or reports in accordance with publication standards.
Transversal Competences:
- Relate the contents of the subject with the syllabus of other subjects.
- Ability to interpret texts, reports and academic articles in English, the scientific language par excellence.
- Develop the capacity for making responsible decisions in complex situations.
Specific competences:
- Acquire advanced training geared towards research and academic specialization, which will allow the student to acquire the necessary knowledge to access the doctorate.
- Become familiar with the standard model of fundamental interactions and its possible extensions.
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. Also the possibility of writing a monograph on a topic of interest that is related to the course content.
Continuous evaluation taking into account the following activities:
1) Compulsory attendance to expository and interactive classes and resolution of the exercises proposed in them. It will account for 60% of the final grade.
Exceptionally, when it has not been possible to carry out this activity satisfactorily, the possibility of evaluating the corresponding 60% of the grade by taking a written exam is contemplated.
2) Solving additional exercises and specific works or projects where the student will put into practice the methods and techniques learned this course. It will account for 40% of the overall grade.
In cases of fraudulent performance of exercises or tests, norms in 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
| Monday | ||
|---|---|---|
| 13:00-14:00 | Grupo /CLE_01 | Classroom 4 |
| Tuesday | ||
| 13:00-14:00 | Grupo /CLE_01 | Classroom 4 |
| Wednesday | ||
| 13:00-14:00 | Grupo /CLE_01 | Classroom 4 |
| Thursday | ||
| 13:00-14:00 | Grupo /CLE_01 | Classroom 4 |
| Friday | ||
| 13:00-14:00 | Grupo /CLE_01 | Classroom 4 |
| 05.27.2024 10:00-14:00 | Grupo /CLE_01 | Classroom 5 |
| 06.21.2024 12:00-14:00 | Grupo /CLE_01 | Classroom 7 |
| Teacher | Language |
|---|---|
| BORSATO , RICCARDO | Spanish |
| MIRAMONTES ANTAS, JOSE LUIS | Spanish |
| Teacher | Language |
|---|---|
| BORSATO , RICCARDO | Spanish |
| MIRAMONTES ANTAS, JOSE LUIS | Spanish |
| Teacher | Language |
|---|---|
| BORSATO , RICCARDO | Spanish |