Code: | F501 | Acronym: | F501 |
Keywords | |
---|---|
Classification | Keyword |
OFICIAL | Physics |
Active? | Yes |
Responsible unit: | Department of Physics and Astronomy |
Course/CS Responsible: | Master in Physics |
Acronym | No. of Students | Study Plan | Curricular Years | Credits UCN | Credits ECTS | Contact hours | Total Time |
---|---|---|---|---|---|---|---|
M:F | 5 | Plano de Estudos do Mestrado em Física | 1 | - | 7,5 | - | |
2 |
Learn the basics of the method of Green's functions (GF) in quantum physics. Understand the different types of GFs and mathematical techniques for their calculation. Get practical usage habits of GFs for calculation of observable quantities. Apply techniques of conformal field theory to describe critical systems (with infinite correlation length). Knowledge of basic and advanced quantum mechanics courses, quantum statistical physics and mathematical methods for functions of complex variables is necessary. Knowledge of the courses complements of statistical physics and quantum field theory will be very useful for the study of conformal field theory.
Learn to calculate Green functions of various types.
Understand the application contexts of Conformal Field Theory and master the basic techniques for the calculation of the corresponding observables.
I. Green functions
1. Temporal Green function, definition
2. Interaction representation, perturbative expansion of FG
3. Wick's Theorem
4. Diagramatic techniques for temporal GF
5. Thermal Green functions, definition
6. Diagramatic techniques for thermal FG
7. Green functions out of equilibrium. Keldysh formalism.
8. Diagramatic techniques for functions of Keldysh.
9. Exercises
II. Conformal Field theory
1. Conformal invariance of continuous phase transitions
2. Critical exponents
3. Examples: Ising model, O(N) models and Quantum Critical Point
4. Correlation functions of primary operators
5. State-operator map
6. Operator product expansion
7. Virasoro algebra
8. Minimal models
9. Weyl anomaly and Cardy formula
Lectures given using multimedia techniques and blackboard. Up to 40% of total course time devoted to solution and discussion of problems.
designation | Weight (%) |
---|---|
Exame | 75,00 |
Participação presencial | 0,00 |
Prova oral | 25,00 |
Total: | 100,00 |
The students should attend to at least 75% of the lectures.
The final grade is a weighted average of the final exam mark (weight 75%) and the mark from the presentation of a problem/project during the course (weight 25%).