First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Science
Course unit
SCP7081702, A.A. 2019/20

Information concerning the students who enrolled in A.Y. 2019/20

Information on the course unit
Degree course Second cycle degree in
SC2382, Degree course structure A.Y. 2017/18, A.Y. 2019/20
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Degree course track NuPhys - NUCLEAR PHYSICS [004PD]
Number of ECTS credits allocated 6.0
Type of assessment Mark
Course unit English denomination QUANTUM FIELD THEORY
Website of the academic structure
Department of reference Department of Physics and Astronomy
Mandatory attendance No
Language of instruction English
Single Course unit The Course unit can be attended under the option Single Course unit attendance
Optional Course unit The Course unit can be chosen as Optional Course unit

Teacher in charge GIANGUIDO DALL'AGATA FIS/02

Course unit code Course unit name Teacher in charge Degree course code

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Core courses FIS/02 Theoretical Physics, Mathematical Models and Methods 6.0

Course unit organization
Period Second semester
Year 1st Year
Teaching method frontal

Type of hours Credits Teaching
Hours of
Individual study
Lecture 6.0 48 102.0 No turn

Start of activities 02/03/2020
End of activities 12/06/2020
Show course schedule 2019/20 Reg.2017 course timetable

Examination board
Examination board not defined

Prerequisites: Relativistic quantum mechanics. Classical filed equations and canonical quantization of the scalar and fermionic fields. Basic QED.
Target skills and knowledge: The path integral formulation of quantum mechanics and of relativistic field theories and its applications to the perturbative solution of scalar field theories and quantum electrodynamics. Basic conceptual and technical notions of renormalization and the renormalization group.
Examination methods: The examination is oral and it will consist of the discussion of one of the problems assigned during the course and of some general questions on the topics of the course, including the derivation of the main results.
Assessment criteria: Knowledge and understanding of the path integral formulation of quantum field theories in the perturbative approximation, and the ability to apply the general concepts to compute simple physical quantities in scalar field theory and quantum electrodynamics.
Course unit contents: Path integrals in quantum mechanics and its generalization to relativistic quantum field theories. Correlation functions and their euclidean continuation. Relation between correlation functions and the S-matrix: the Lehmann-Symanzik-Zimmermann reduction formula. Equivalence of the path-integral and operator formalism.

Self-interacting scalar field theory: the perturbative expansion, functional derivation of the Feynman rules, generating functions and effective action. The fermionic path-integral. The definition of the path-integral for gauge theories: QED.

Divergences in quantum field theories. Dimensional regularization. Counterterms and renormalization. One-loop renormalization for the scalar field theory with quartic coupling and for QED. An introduction to renormalization at higher loops. The Renormalization Group: computation of the beta-function and of the anomalous dimension in scalar field theory and QED. The role of symmetries: Ward identities, gauge symmetries, the Ward-Takahashi identity in QED. Renormalization and the floating cut-off: an introduction to the Wilson-Polchinski equation.
Planned learning activities and teaching methods: Lectures and weekly assignments.
Textbooks (and optional supplementary readings)
  • Srednicki, Mark A., Quantum field theoryMark Srednicki. Cambridge: Cambridge university press, 2007. Cerca nel catalogo
  • S. Weinberg, The Quantum Theory of Fields. Vol I.. --: Cambridge University Press, 2005. Cerca nel catalogo
  • Peskin, Michael E.; Schroeder, Daniel V., An introduction to quantum field theoryMichael E. Peskin, Daniel V. Schroeder. --: Westview Press, 1995. Errata corrige available at Cerca nel catalogo
  • Pierre Ramond, Field Theory: A Modern Primer, 2nd Edition. --: Addison-Wesley, 1989. Cerca nel catalogo