Quantum Field Theory 1

The course provides an introduction to relativistic quantum
field theory, its theoretical foundations, and its application to the
perturbative computation of scattering processes.

The course provides an introduction to relativistic quantum
field theory, its theoretical foundations, and its application to the
perturbative computation of scattering processes.


Risultati di apprendimento attesi (inglese )
At the end of this course the student will know how to

Decouple the dynamics of coupled finite-and infinite-dimensional
system in terms of normal coordinates

Obtain a classical field as the continuum limit of a system of coupled
harmonic oscillators

Construct a relativistic classical field theory for scalar, vector and
spin 1/2 fields

Determine the conserved currents in the presence of both internal and
space-time symmetry, specifically the enrrgy-momentum tensor

Quantize a free scalar field and construct its Fock space

Quantize a Fermi field

Obtain the time evolution of a quantum field theory from its path
integral

Compute the path integral and propagator for a free field theory of
Bosons or Fermions

Write down the path integral for an interacting field theory and use
it to calculate Green functions

Relkate aplitudes to Green functions through the reduction formula

Determine the Feynman rules for a given theory from the path integral

Compute amplitudes and cross-sections for simple processes

Understand the origin of divergences in perturbative computations, and
how to tame them through regularization and renormalization

Determine the Feynman rules for a renormalized field theory

Determinare le regole di Feynman per una teoria rinormalizzata

Understand under which conditions a theory is renormalizable or not,
and what it means