Introduction to QFT II

Introduction to QFT II - Renormalization Group and Critical Phenomena (WS 2018/2019)


Wednesdays, 13:30-15:10, S2 11/10
Fridays, 11:40-13:20, S2 11/10


Jens Braun



(Planned) Contents

  • Motivation: Why renormalization? Classification of theories? Critical behavior and QFT?
  • Path integrals
  • Perturbative renormalization, effective action
  • Spontaneous symmetry breaking
  • Renormalization Group: Wilson’s approach, Callan-Symanzik equation
  • Fixed points and universal behavior
  • Non-perturbative renormalization: Weinberg’s asymptotic safety scenario (depending on time)
  • Gauge Field Theories (background field formalism, ...)
  • More RG approaches: Functional RG, Similarity RG (depending on time)


  • Lecture notes available for download on this page (see below)
  • An Introduction to Quantum Field Theory, Perseus Books, M. E. Peskin, D. V. Schroeder
  • Eichtheorie, Springer, T. Kugo, S. Heusler
  • Field Quantization, Springer, J. Reinhardt, W. Greiner
  • Gauge Field Theories, Cambridge Monographs, S. Pokorski
  • Lectures on Phase Transitions and the Renormalization Group, Westview Press, N. Goldenfeld
  • Quantum Field Theory, Cambridge University Press, L. Ryder
  • The Quantum Theory of Fields, Cambridge University Press, Steven Weinberg
  • Quantum Field Theory in a Nutshell, Princeton University Press, A. Zee
  • Quantum Field Theory and Critical Phenomena, Clarendon Press, J. Zinn-Justin
  • Lectures on Phase Transitions and the Renormalization Group, CRC Press, Nigel Goldenfeld
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