Institute for Theoretical Particle Physics (TTP)

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Einführung in die Theoretische Teilchenphysik

Prof. Dr. Kirill Melnikov

Dr. Christian Broennum-Hansen

Dr. Matthieu Jaquier

Institut für Theoretische Teilchenphysik (TTP)
Campus Süd, Geb. 30.23
Wolfgang-Gaede-Strasse 1
76131 Karlsruhe
E-Mail: vorname.nachname@kit.edu

Topics

  • Path integrals in Quantum Mechanics and Quantum Field Theory
  • Quantisation of a scalar field
  • Casimir force
  • Gauge invariance
  • Spontaneous symmetry breaking
  • Higgs mechanism and mass generation
  • Greens functions in field theory
  • Feynman diagrams
  • Standard Model

Literature

  • A. Zee – Quantum Field Theory in a Nutshell
  • M. Böhm, A. Denner, H. Joos – Gauge Theories of the Strong and Electroweak Interaction
  • R. Casalbuoni – Introduction to Quantum Field Theory
  • D. Griffiths – Introduction to Elementary Particles
  • F. Halzen, A.D. Martin – Quarks and Leptons: An Introductory Course in Modern Particle Physics
  • D.H. Perkins – Introduction to High Energy Physics
  • M.E. Peskin, D.V. Schroeder – An Introduction to Quantum Field Theory
  • M.D. Schwartz – Quantum Field Theory and the Standard Model

Organisation

Lecture

  • Monday, 9:45-11:15 (starting from 14.10.2019), Building 30.22 Physik-Hörsaal Nr. 4 (Kl. HS B)
  • Wednesday, 14:00-15:30 (starting from 16.10.2019), Building 30.22 Physik-Hörsaal Nr. 4 (Kl. HS B)

Note that the Wednesday lecture takes place only every second week.

Tutorials

  • Tuesday, 9:45-11:15, Physics highrise room 12/1
  • Wednesday, 9:45-11:15, Physics highrise room 12/1

There are no tutorials in the first semester week.

Registration to tutorials

Write an email to Dr. M. Jaquier before 21.10.2019

Distribution of students across the tutorials: Participant list

Passing thresholds

The course exists in two versions, V3U2 with 10 ECTS points and V3U1 with 8 ECTS points, respectively. In order to obtain the respective points, one has to achieve a certain percentage of all possible points in the exercises:

  • V3U2 : 80% of all points
  • V3U1 : 40% of all points

Lectures

  • The lecture notes will be uploaded prior to each lecture
Date Lecture Topic
Mo. 14.10 Lecture 1 Path integral in Quantum Mechanics
Mi. 16.10 Lecture 1 Path integral in Quantum Mechanics
Mo. 21.10 Lecture 2 With the path integral to field theory
Mo. 28.10 Lecture 3 Canonical quantization, particles
Mi. 30.10 Lecture 3 Canonical quantization, particles
Mo. 04.11 Lecture 4 The Casimir force
Mo. 11.11 Lecture 5 Symmetries
Mi. 13.11 Lecture 6 Gauge invariance: the abelian case and the electromagnetic field
Mi. 20.11 Lecture 7 Gauge invariance: the non-abelian case
Mo. 25.11 Lecture 8 Spontaneous symmetry breaking, Goldstone effect
Mi. 27.11 Lecture 9 Higgs mechanism and mass generation
Mo. 02.12 Lecture 10 The Dirac Lagrangian
Mo. 09.12 Lecture 11 Spin-statistics connection
Mi. 11.12 Lecture 11 Spin-statistics connection
Mo. 16.12 Lecture 12 The Standard Model of particle physics
Mi. 18.12 Lecture 12 The Standard Model of particle physics
Mi. 08.01 Lecture 13 An “alternative” Standard Model
Mo. 13.01 Lecture 14 Green's functions
Mi. 15.01 Lecture 15 Green's functions and the path integral. Forces.
Mo. 20.01 Lecture 15 Green's functions and the path integral. Forces.
Mo. 27.01 Lecture 16 Green's functions and Feynman diagrams
Mi. 29.01 Lecture 16 Green's functions and Feynman diagrams
Mo. 03.02 Lecture 18

Exercise Sheets

  • The sheets are published every Friday. Please be aware of possible 'Errata' after publication.
  • Note that the first sheet is published on Monday, 14.10.
  • The solutions have to be handed in until Friday of the next week at 12:00. Solutions in groups are not allowed.
  • The solutions can be handed in the letter-box at the ground floor of the physics high-rise.
  • Discussion of the sheets is during the tutorials.
Sheet Publication Hand-in Discussion in tutorials
Sheet 1 Mo. 14.10 Fr. 18.10 Di. 22.10 / Mi. 23.10
Sheet 2 Fr. 18.10 Fr. 25.10 Di. 29.10 / Mi. 30.10
Sheet 3 Fr. 25.10 Do. 31.10, 18:00 Di. 05.11 / Mi. 06.11
Sheet 4 Fr. 01.11 Fr. 08.11 Di. 12.11 / Mi. 13.11
Sheet 5 Fr. 08.11 Fr. 15.11 Di. 19.11 / Mi. 20.11
Sheet 6 Fr. 15.11 Fr. 22.11 Di. 26.11 / Mi. 27.11
Sheet 7 Fr. 22.11 Fr. 29.11 Di. 03.12 / Mi. 04.12
Sheet 8 Fr. 29.11 Fr. 06.12 Di. 10.12 / Mi. 11.12
Sheet 9 Fr. 06.11 Fr. 13.12 Di. 17.12 / Mi. 18.12
Sheet 10 Fr. 13.12 Fr. 20.12 Di. 07.01 / Mi. 08.01
Sheet 11 Fr. 20.12 Fr. 10.01 Di. 14.01 / Mi. 15.01
Sheet 12 Fr. 10.01 Fr. 17.01 Di. 21.01 / Mi. 22.01
Sheet 13 Fr. 17.01 Fr. 24.01 Di. 28.01 / Mi. 29.01
Sheet 14 Fr. 24.01 Fr. 31.01 Di. 04.02 / Mi. 05.02

Errata:

  • Sheet 2, exercise 4b : Eq. (4.3) does not contain the mass.
  • Sheet 3, exercise 7b : The shift Eq. (7.1) is to be performed only on the H.O. Lagrangian, Eq. (7.4). In Eq. (7.6) the mass multiplies the whole expression.
  • Sheet 6, exercise 2f : The explicit expressions for the Pauli Matrices are not needed.
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