Quantum Field Theory 1

--Classical field theory
+ normal coordinates
+ the continuum limit and classical fields
+ equations of motion
+ Noether's theorem
--Field quantisation: free fields
+quantisation of the scalar field and Fock space
+several degrees of freedom: the charged field and the spin-one field
+fermionic fields: the Dirac field
--Interacting fields
+interactions and time evolution
+the path integral
+the propagator
+the path integral for fermions
--Amplitudes
+the interaction vertex
+the reduction formula
+Feynman rules
--Leading order computation of physical processes: e+e−→μ+μ− in QED
+computation of the amplitude and gamma matrices
+kinematics and reference frames
+the cross-section: flux factor and phase space
--Renormalisation
+divergences and their meaning
+renormalised perturbation theory
+renormalisability


Prerequisites and exam

PREREQUISITES: Nonrelativistic quantum mechanics. Special
relativity. The Lagrangian formulation fo classical mechanics.
EXAM: written and oral. POrevious written exams (with solutions) can
be found on the coures's web page


REFERENCE MATERIAL

RECOMMENDED BOOKS:

M. Maggiore: A Modern Introduction to Quantum Field Theory; Oxford
University Press, 2005 (reference textbook)
M.E. Peskin, D.V. Schroeder: An introduction to Quantum Field Theory; Addison-Wesley, 1995
S. Weinberg: The Quantum Theory of Fields: Vol. I (foundations); Cambridge University Press, 1995
A. Zee, Quantum Field Theory in a Nutshell; Princeton University Press, 2010
V. Radovanovic: Problem Book in Quantum Field Theory; Springer, 2007

Teachnig methods

Exam: written and oral
Presence in class: required
Teaching form: standard (classroom)
Prerequisites:

Fisica Moderna e Meccanica Quantistica (Quantum Mechanics: introductory and advanced)
Meccanica Analitica (advanced classical mechanics)
Metodi Matematici per la Fisica (mathematical methods for physicists)
Metodi Matematici per la Fisica - Geometria e Gruppi (magistrale):
(group theory): recommended but not required