course dates credits
Quantum Field Theory I Oct 4 - Dec 17 11*
teachers schedule term
Marco Serone, David Marzocca 11:30 - 13:00 1

Program:

  • Kallen-Lehmann Representation
  • Cluster Decomposition
  • LSZ Reduction Formula
  • The Optical Theorem
  • Causality and Analyticity
  • General Renormalization Theory
  • Coleman-Weinberg Potential
  • Symmetries and Ward Identities
  • Quantization and Ward Identities for QED
  • Renormalization Group
  • The Sliding Scale and the Summation of Leading Logs
  • Scheme Dependence and Asymptotic Behaviours of Coupling Constants
  • Callan-Symanzik Renormalization Group equations
  • RG Flows of Dimensionful Couplings
  • RG Improved Effective Potential
  • Quantization of Non-Abelian Gauge Theories
  • BRST Symmetry
  • Background Field Method
  • (*)Effective Field Theories
  • (*)Naturalness and the Hierarchy Problem
  • (*)Non-Leptonic Decays
  • (*)(Ir)relevance of Higher Dimensional Operators
  • (*)Redundant Operators
  • (*)Spontaneously Broken Global Symmetries
  • (*)Goldstone Theorem
  • (*)Spontaneously Broken Gauge Symmetries
  • (*)Higgs Mechanism
  • (*)Effective Field Theory for Broken Symmetries
  • (*)Mesons in QCD
  • (*)Anomalies from One-Loop Graphs
  • (*)Gauge Anomalies and Their Cancellation in the Standard Model
  • (*)Strong CP Problem and Axions
  • (*)Large Orders in Perturbation Theory
  • (*)Vacuum Decay in Presence of External Fields

An essential part of the course will be provided by several exercises to be solved. The topics with (*) are optional for students in the Astroparticle curriculum.

Prerequisites:

  • Quantum Mechanics
  • Basic concepts of Quantum Field Theory
    (quantization of scalar, fermion and abelian gauge fields, Feynman rules, path integral formulation)

Books:

  • S. Weinberg, ''The Quantum Theory of Fields'', vol. I and II
  • M.E. Peskin and D.V. Schroeder, ''An Introduction to Quantum Field Theory''

Online Resources:

Filename Size (bytes) Date Modified
QFTExam_2011_winter.pdf 52.58 KB May 23 2017 2:07 PM
QFTExam_2012_summer.pdf 68.91 KB May 23 2017 2:07 PM
QFTExam_2012_winter.pdf 78.52 KB May 23 2017 2:07 PM
QFTExam_2013_summer.pdf 75.46 KB May 23 2017 2:07 PM
QFTExam_2013_winter.pdf 75.77 KB May 23 2017 2:07 PM
QFTExam_2014_winter.pdf 69.18 KB May 23 2017 2:07 PM
QFTExam_2015_winter.pdf 69.1 KB May 23 2017 2:07 PM
QFTExam_2016_summer.pdf 67.01 KB May 23 2017 2:07 PM
QFTExam_2016_winter.pdf 84.75 KB May 23 2017 2:07 PM
QFTExam_2017_winter.pdf 86 KB Sep 27 2017 10:06 PM
QFTExam_2018_summer.pdf 81.66 KB Aug 23 2018 11:00 AM
QFTExam_2018_winter.pdf 90.73 KB Feb 13 2019 11:03 PM
QFTExam_2019_summer.pdf 59.28 KB Jul 9 2019 10:34 PM
QFTExam_2019_winter.pdf 86.87 KB Apr 13 2020 10:45 AM
QFTExam_2020_winter.pdf 74.43 KB Feb 2 2021 12:25 PM
QFTExam_2021_winter.pdf 85.01 KB May 17 2022 12:30 PM
QFT_Review_Jan12_2021.pdf 2.19 MB Feb 2 2021 12:25 PM