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Elements of field theory
01TSCKG
A.A. 2022/23
Course Language
Inglese
Degree programme(s)
Doctorate Research in Fisica - Torino
Course structure
| Teaching | Hours |
|---|---|
| Lezioni | 30 |
Lecturers
| Teacher | Status | SSD | h.Les | h.Ex | h.Lab | h.Tut | Years teaching |
|---|---|---|---|---|---|---|---|
| Andrianopoli Laura Maria | Professore Associato | PHYS-02/A | 20 | 0 | 0 | 0 | 3 |
Co-lectures
Context
| SSD | CFU | Activities | Area context |
|---|---|---|---|
| *** N/A *** |
Some useful references:
• H. Goldstein, “Classical Mechanics”, 2nd ed., Addison-Wesley, 1980
• R. D'Auria, M. Trigiante, “From Special Relativity to Feynman Diagrams”, Springer, 2012
• H. Nastase, “Classical Field Theory”, Cambridge University Press, 2019
• E.S. Abers, B.W. Lee “Gauge Theories”, Phys. Rept. Vol. 9 (1973) 1.
• P. GODDARD and D. OLIVE, “Magnetic monopoles in gauge field theories”, Rep. Prog. Phys., Vol. 41, 1978.
• R. Rajaraman, Solitons and instantons, North-Holland, 1982.
• S. Coleman, “Aspects of symmetry”, Selected Erice lectures, Cambridge University Press.
Knowledge of classical mechanics and electrodynamics (from courses of Physics 1 and 2), of the fundamental elements of Special Relativity and of quantum mechanics
- Elements of classical mechanics in Hamiltonian versus Lagrangian formalism: (Euler-Lagrange equations, Noether theorem);
- Basics of the theory of Lie groups and algebras (rotations and Poincaré groups), with application to Special Relativity;
- Classical field theory in Lagrangian formalism (scalar and gauge fields, and their interaction);
- Spontaneous symmetry breaking (Goldstone theorem, Higgs mechanism);
- Brief excursus into quantum field theory (path integral approach), and on the role of non-dissipative, classical configurations;
- Topological conserved charges (Elements of homotopy theory, Derrick theorem, Sine-Gordon model, Dirac monopole, ‘t Hooft-Polyakov monopole).
On site
Oral presentation
P.D.2-2 - April