204290
Vorlesung
WiSe 12/13: Quantum Field Theory of Elementary Particles
Johannes Blümlein
Kommentar
I. Historical overview:
The development of elementary particle physics and Quantum field theory
II. Scalar Fields
III. Particles with spin
IV Renormalization of quantum field theories
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
16 Termine
Regelmäßige Termine der Lehrveranstaltung
Di, 16.10.2012 08:00 - 12:00
Di, 23.10.2012 08:00 - 12:00
Di, 30.10.2012 08:00 - 12:00
Di, 06.11.2012 08:00 - 12:00
Di, 13.11.2012 08:00 - 12:00
Di, 20.11.2012 08:00 - 12:00
Di, 27.11.2012 08:00 - 12:00
Di, 04.12.2012 08:00 - 12:00
Di, 11.12.2012 08:00 - 12:00
Di, 18.12.2012 08:00 - 12:00
Di, 08.01.2013 08:00 - 12:00
Di, 15.01.2013 08:00 - 12:00
Di, 22.01.2013 08:00 - 12:00
Di, 29.01.2013 08:00 - 12:00
Di, 05.02.2013 08:00 - 12:00
Di, 12.02.2013 08:00 - 12:00