204290 Lecture

WiSe 12/13: Quantum Field Theory of Elementary Particles

Johannes Blümlein

Comments

I. Historical overview:

The development of elementary particle physics and Quantum field theory

II. Scalar Fields

  • Classical field theory, Noether theory, equations of motion
  • Canonical quantization of the scalar field
  • The neutral free scalar field
  • The charged free scalar field
  • Particle Green's functions
  • Interacting fields and particle scattering
  • Path-integral formalism
  • Feynman rules
  • Scattering cross sections for scalar particle

III. Particles with spin

  • Fermions: Relativistic theory (Pauli, Dirac, Weyl equations, Dirac matrices, phase symmetry)
  • Abelian gauge symmetry and vector fields: Photon
  • Canonical quantization of the Dirac field
  • Path integral for fermion fields, Grassmann variables, Feynman rules
  • Proca field; helicity states
  • Quantization of Abelian vector fields and quantum electrodynamics
  • Non-Abelian gauge theories: Yang-Mills fields
  • Faddeev-Popov ghosts
  • Slavnov-Taylor identities
  • Feynman rules for Yang-Mills fields
  • Perturbation theory

IV Renormalization of quantum field theories

  • Renormalizable and non-renormalizable field theories
  • Loop integrals and regularization in D dimensions
  • Renormalization in quantum electrodynamics
  • Dyson-Ward proof
  • Path integrals, Ward-Takahashi Identity
  • Becchi-Rouet-Stora transformation
  • Bogolyubov-Parasyuk-Hepp-Zimmermann renormalization proof of the quantum field theories
  • The renormalization group: Callan-Symanzik equations, running couplings and masses
close

16 Class schedule

Regular appointments

Tue, 2012-10-16 08:00 - 12:00

Lecturers:
Prof. Dr. Johannes Blümlein

Location:
0.1.01 Hörsaal B (Arnimallee 14)

Tue, 2012-10-23 08:00 - 12:00

Lecturers:
Prof. Dr. Johannes Blümlein

Location:
0.1.01 Hörsaal B (Arnimallee 14)

Tue, 2012-10-30 08:00 - 12:00

Lecturers:
Prof. Dr. Johannes Blümlein

Location:
0.1.01 Hörsaal B (Arnimallee 14)

Tue, 2012-11-06 08:00 - 12:00

Lecturers:
Prof. Dr. Johannes Blümlein

Location:
0.1.01 Hörsaal B (Arnimallee 14)

Tue, 2012-11-13 08:00 - 12:00

Lecturers:
Prof. Dr. Johannes Blümlein

Location:
0.1.01 Hörsaal B (Arnimallee 14)

Tue, 2012-11-20 08:00 - 12:00

Lecturers:
Prof. Dr. Johannes Blümlein

Location:
0.1.01 Hörsaal B (Arnimallee 14)

Tue, 2012-11-27 08:00 - 12:00

Lecturers:
Prof. Dr. Johannes Blümlein

Location:
0.1.01 Hörsaal B (Arnimallee 14)

Tue, 2012-12-04 08:00 - 12:00

Lecturers:
Prof. Dr. Johannes Blümlein

Location:
0.1.01 Hörsaal B (Arnimallee 14)

Tue, 2012-12-11 08:00 - 12:00

Lecturers:
Prof. Dr. Johannes Blümlein

Location:
0.1.01 Hörsaal B (Arnimallee 14)

Tue, 2012-12-18 08:00 - 12:00

Lecturers:
Prof. Dr. Johannes Blümlein

Location:
0.1.01 Hörsaal B (Arnimallee 14)

Tue, 2013-01-08 08:00 - 12:00

Lecturers:
Prof. Dr. Johannes Blümlein

Location:
0.1.01 Hörsaal B (Arnimallee 14)

Tue, 2013-01-15 08:00 - 12:00

Lecturers:
Prof. Dr. Johannes Blümlein

Location:
0.1.01 Hörsaal B (Arnimallee 14)

Tue, 2013-01-22 08:00 - 12:00

Lecturers:
Prof. Dr. Johannes Blümlein

Location:
0.1.01 Hörsaal B (Arnimallee 14)

Tue, 2013-01-29 08:00 - 12:00

Lecturers:
Prof. Dr. Johannes Blümlein

Location:
0.1.01 Hörsaal B (Arnimallee 14)

Tue, 2013-02-05 08:00 - 12:00

Lecturers:
Prof. Dr. Johannes Blümlein

Location:
0.1.01 Hörsaal B (Arnimallee 14)

Tue, 2013-02-12 08:00 - 12:00

Lecturers:
Prof. Dr. Johannes Blümlein

Location:
0.1.01 Hörsaal B (Arnimallee 14)

Subjects A - Z