Università Roma Tre

1. Introductive Lectures
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Green Functions, Feynman Diagrams, Exponentiation of disconnected diagrams, IN and OUT states, S-Matrix, S-Matrix in terms of Feynman diagrams, Kaellen-Lehmann Spectral Representation, LSZ Reduction Formula.

2. Renormalization
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Superficial Divergence Degree of Diagrams, Renormalized Perturbation Theory, Callan-Symanzik Equation, Beta and Gamma Functions, Running coupling, Leading Logarithm Resummation.

3. Gauge Theories
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General Formalism of Gauge Theories.

4. Path Integral Method
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Introduction to Path Integral Formalism, Path Integral for a Field Theory (Path Int.for a scalar field thoery, Green functions in terms of Path Int., Feynman rules from Path Int., Generating Functional),
QED Quantization (Faddeev-Popov Method), Quantization of Non-abelian Gauge Theories, Ghosts.

5. Electroweak Theory
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Standard Model (SM) Formalism, Charged and Neutral Weak Currents, Spontaneous Symmetry Breaking, Goldstone Bosons, Higgs Mechanism, Higgs Sector, Vector Boson and Fermion Masses, Higgs Couplings, Quark Mixing Matrix, GIM Mechanism, CP-Violation in the SM, Unitarity Triangle Analysis and further Analyses in Flavour Physics.

MICHAEL E. PESKIN, DANIEL V. SCHROEDER "AN INTRODUCTION TO QUANTUM FIELD THEORY";
FRANZ MANDL, GRAHAM SHAW "QUANTUM FIELD THEORY".