Learning objectives
The main theme of this course is the ideas and applications of quantum gauge theories to particle physics. The goal is to compute the beta function in non- Abelian gauge theories and discuss asymptotic freedom.
At the end of this course, the student will possess the main knowledges of relativistic quantum field theory, especially as regards quantization and renormalization of non abelian gauge theories. The student will become acquainted with the basic principles of the Standard Model of electroweak and strong interactions. At the end of this course, the student will possess the main knowledges concerning some advanced tools of the relativistic quantum field theory.
Prerequisites
Canonical and path-integral quantization of scalar fields. Feynman rules for scalar theories.
Course unit content
Advanced aspects of quantum Field Theory: including perturbative renormalization, quantization of non-abelian gauge theories and spontaneous symmetry breaking
Full programme
Renormalization: regularization and UV divergencies, renormalized perturbation theory, renormalization group, Callan-Symanzik equation.
Quantum effective action: physical meaning, 1PI verte, effective potential, spontaneous symmetry breaking and Nambu-Goldstone theorem.
Abelian gauge theories: vector field and spinor field and their quantization, canonical and path-integral. QED: tree amplitudes. QED: one-loop effects, renormaliztion, beta-function and Landau pole.
Non-abelian gauge theories: continous symmetries and Lie groups. SU(N) and representations. Non-abelian lagrangian and its path-integral quantization. Ghost fields, beta-function and asymptotic freedom. BRST and unitarity. Anomalies.
Bibliography
M. Peskin, D Schroeder, ‘‘An Introduction to quantum filed theory’,
Addison Welsey ed.
Stefan Pokorski Gauge field theory (Cambridge University Press)
Mark Srednicki: Quantum Field Theory (Cambridge University Press) (see
also: http://www.physics.ucsb.edu/~mark/qft.html)
Teaching methods
Lectures and home-works to be discussed in classroom
Assessment methods and criteria
Written examination and seminars on particular topics.
Other information
2030 agenda goals for sustainable development
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