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Quantum Field Theory

Jan Martin Pawlowski, winter term 2016/2017

Monday & Wednesday, 11:15-13:00, gHS Pw 12 [LSF]

  • Content

  • Literature

  • Exercises & bonus material

  • Script

  • Written Exam: Wednesday, 8th of February, 11:30-13:30, gHS, Philosophenweg 12

    Auxiliary Exam/Nachklausur: Wednesday, 19th of April, 14:00-16:00, gHS, Philosophenweg 12

    Required: Identity card, sheets of paper, pencil
    All necessary information will be on the exercise sheets, no further resources allowed

  • Registration

Prerequisites: quantum mechanics, classical field theory, statistics


Content of lecture series

In the lecture course an introduction to quantum field theory is given.

Outline

  • Classical field theory:
    space-time symmetries, internal symmetries, Noether theorem, conservation laws

  • Quantisation:
    quantisation of free fields: bosons & fermions, Wick's theorem, Scattering matrix, Green functions

  • Perturbation theory:
    Feynman rules, renormalisation, radiative corrections, LSZ, path integral

  • Applications:
    QED, Non-Abelian gauge theories, Spontaneous symmetry breaking, standard model


Literature

  • Quantum field theory, basics

    •   Haag Local Quantum Physics Springer, 1996
    Itzykson, Zuber Quantum Field Theory McGraw-Hill, 1980
      Mandl, Shaw Quantum Field Theory Wiley, 1993
      Peskin, Schroeder An Introduction to Quantum Field Theory Addison Wesley, 1995
      Ramond Field Theory. A Modern Primer Addison Wesley, 1999
      Ryder Quantum Field Theory Cambridge UP, 1996
      Siegel Fields hep-th/9912205
      Srednicki Quantum Field Theory Cambridge UP, 2007
      Stone The Physics of Quantum Fields Springer, 2000
      Weinberg The Quantum Theory of Fields, Vol. 1-2 Cambridge UP, 1996

  • Quantum field theory, applications

    Kugo Eichtheorie Springer, 1997
      Miransky Dynamical Symmetry Breaking in Quantum Field Theories World Scientific, 1993
      Muta Foundations of Quantum Chromodynamics World Scientific, 1987
      Nachtmann Elementarteilchenphysik - Phänomene und Konzepte Vieweg,1992
      Pokorski Gauge Field Theories Cambridge UP, 1987
      Wu-Ki Tung Group Theory in Physics World Scientific, 1985
      Zinn-Justin Quantum Field Theory and Critical Phenomena Oxford UP, 1993

  • Textbooks on the renormalisation group and critical phenomena

    • Amit Field Theory, the Renormalization Group, and Critical Phenomena World Scientific
      Binney, Dowrick, Fisher, Newman The Theory of Critical Phenomena, an Introduction to the Renormalization Group Clarendon Press, Oxford
      Cardy Scaling and Renormalization in Statistical Physics Cambridge UP
      Collins Renormalization Springer
      Parisi Statistical Field Theory Addison-Wesley

  • Lecture notes

    •   Hebecker lecture courses QFT I & II 2015-2016 QFT I & QFT II
      Weigand lecture courses QFT I & II 2013-2014 QFT I & QFT II
    Pawlowski lecture courses QFT I & II 2009-2010 QFT I & QFT II