Quantum Field Theory

Code: PCOS0006
Course: PhD in Astrophysics, Cosmology, and Gravitation
Credits: 4
Hourly load: 60
Syllabus: Relativistic Quantum Mechanics: 0 and ½ spin particles, classic action principle: finite number of degrees of freedom, relativist field equations, simmetries, Noether theorem, moment-energy tensor. Free quantized fields, Fock space: scalar fields, Dirac field and electromagnetic field. Interaction fields: S-matrix asymptotic states, free and interaction particles, cross sections, reduction of LSZ and asymptotic theory, Green functions of free field and equation of movement to Z (J), perturbative expansion, Wick theorem, Feynman diagrams, two-and-four point Green functions, ultraviolet singularity, renormalization of one-loop diagrams, potentials count and renormalizability.
Bibliography: S. Weinberg, The Quantum Theory of Fields, University Press, Cambridge, vol. 1 (1995) e vol. 2 (1996);
P. Schoroeder, An Introduction ot Quantum Field Theory, Addison Wesley (1995);
C. Itzykson, J. B. Zuber, Quantum Field Theory, McGraw-Hill, Singapura (1980).