Physics | University of Parma

Professor
Academic discipline: Fisica teorica, modelli e metodi matematici (FIS/02)
Field: Attività formative affini o integrative
Type of training activity: Related/supplementary

48 hours
of face-to-face activities

6 credits

hub: PARMA

course unit
in - - -

lectures timetable unavailable

exam calls

Learning objectives

The goal is to compute the
beta function in on-Abelian gauge theories and discuss asymptotic freedom.

Prerequisites

quantum mechanics

Course unit content

The main theme of
this course is the idea of renormalization of gauge theories.

Full programme

Functional methods Path integrals in quantum mechanics and quantum field
theory.Perturbation theory and Feynman
diagrams.Feynman rules from path integrals.Fermions and Grassman variables.
Renormalisation Ultraviolet divergences and regularisation. Dimensional
regularisation.Renormalised perturbation theory.
Renormalisation group. Renormalization conditionBeta functions and anomalous
dimensions, IR/UV fixed points, Callan-
Symanzik equation.1PI effective action. Derivative expansion of 1PI effective action;
Effective potential. Spontaneous
symmetry breaking, Nambu-Goldstone theorem - proof by 1PI effective action and
Ward identity.
Non-Abelian gauge field theory Abelian and non-Abelian gauge symmetries.QCD
and Yang-Mills theory.Gauge fixing
and Faddeev-Popov ghosts.Computation of the beta function.Asymptotic freedom,
colour confinement and the continuum
limit.

Bibliography

M.Peskin, D Schroeder, ‘‘An Introduction to quantum filed theory’, Addison Welsey ed.
S. Pokorski "Gauge field Theory" Cambridge Univ. press.

Teaching methods

Oral lessons

Assessment methods and criteria

homeworks, final written exam, seminar on a particular subject

Other information

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THEORETICAL PHYSICS cod. 00431