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Introduction to Relativistic Quantum Field Theory (SS21)

Lecturer

Prof. Dr. Stefan Dittmaier

Dates

  • Lecture: 4 hours, Mon 14-16, Tue 12-14, start: 19.4.2021
  • Tutorial: 2 hours, Wed 14-16

ILIAS link

To get access to the ILIAS page please register for the lecture in HISinOne. Your registration will be transfered to ILIAS automatically (usually over night).

For Bachelor students

The lecture is suitable as supplementary or elective course  (Wahlpflicht- bzw. Wahlbereich).  It is equivalent to the lecture "Theoretische Teilchenphysik" in the course description.

Content

  • Quantisation of scalar fields (Klein-Gordon equation, classical field theory, canonical quantisation, scattering theory and Feynman diagrams),
  • Vector-boson fields (classical field equations, electromagnetic interactions and the gauge principle, quantisation of the electromagnetic field, scalar QED and perturbative evaluation),
  • Dirac fermions (basics of Lie Groups, Lorentz group and its representations, Dirac and Weyl equations, Poincare group and its representations, quantisation of free Dirac fields, QED and perturbative evaluation, applications),
  • Quantisation with functional integrals.

Prerequisites

Quantum Mechanics, Electrodynamics and Special Relativity

Literature

  • Bjorken, Drell: "Relativistic Quantum Mechanics"
  • Bjorken, Drell: "Relativistic Quantum Fields"
  • Itzykson, Zuber: "Quantum Field Theory"
  • Maggiore: "A Modern Introduction to Quantum Field Theory"
  • Peskin, Schroeder: "An Introduction to Quantum Field Theory"
  • Ramond: "Field Theory: a Modern Primer"
  • Schwartz, "Quantum Field Theory and the Standard Model"
  • Tung: "Group Theory in Physics"
  • Weinberg: "The Quantum Theory of Fields, Vol.1: Foundations"

More advanced literature

  • Böhm, Denner, Joos: "Gauge Theories of the Strong and Electroweak Interaction"
  • Weinberg: "The Quantum Theory of Fields, Vol. 2: Modern Applications"

Requirements for Course Achievement / Academic Record

  • Course Achievement ("Studienleistung"):
    Active and regular participation in the tutorials, including solutions to 50% of the homework problems.
  • Academic Record ("Prüfungsleistung"):
    Oral or written exam.

Further details will be given in the lecture/tutorials.

Lecture notes

See ILIAS page.

Exercise sheets

See ILIAS page.
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