Siehe StudOn zu Organisation und Terminen.

Die Inhalte der Kern- und Teilchenphysik sind:

• Kerne: Aufbau, Masse, Bindungsenergie

• Kernmodelle

• Kernzerfall und -spaltung, Kernkraftwerke

• Streuprozesse, Rutherford-Streuung, Formfaktoren

• Elektron-Nukleon-Streuung (elastisch, Resonanzanregung, tiefinelastisch)

• Elementare Fermionen, Dirac-Gleichung

• Wechselwirkungen, Feynmangraphen und -regeln, lokale Eichinvarianz

• Elektromagnetische Wechselwirkung in Experimenten

• Starke Wechselwirkung, QCD, laufende Kopplungskonstante, Confinement, Asymptotic freedom, Experimente zu starken WW, Hadron-Multipletts

• Schwache Wechselwirkung, Paritätsverletzung, Quark-Mischung und CKM-Matrix, CP-Verletzung, pi- und µ-Zerfall, e⁺e^- Streuung auf Z-Resonanz

• Neutrinophysik

• Standardmodell: Elektroschwache Vereinigung und Higgs-Mechanismus

Kleine Änderungen sind noch möglich.

Die geplanten Inhalte des QFT-Teils sind:

QT recap

• Operators, algebras, states, representations

• spectrum

Symmetries in QT

• groups, unitary representations, ray representations

• Lie groups and algebras

• Application: angular momentum, spin, isospin

Time evolution in QT

• Schrödinger, Heisenberg, interaction picture

• Dyson series, time dependent perturbation theory

• Propagators

• Feynman path integral 

QM with multiple particles

• tensor product

• identical particles

• Fock spaces

Relativistic QM

• Lorentz group and its representations

• scalars and Klein-Gordon equation

• spinors and Dirac equation

Classical field theory

• scalar fields, vector fields, spinors

• gauge fields

• symmetries, interactions

• Sketch of standard model action

Free quantum field theory

• free scalar, vector, spinor fields

• propagators

Structural aspects of quantum field theory

• Representation theory for the Poincare group, Wigner classification

• Spin-statistics

• scattering, LSZ Reduction

Perturbation theory

• Gell Man-Low magic formula

• Feynman diagrams, Feynman rules

• Divergencies, simple examples of renormalisation

Änderungen sind noch möglich.

Title:

Integrated course 3: Quantum field theory, nuclear and particle physics

Credits: 16

Prerequisites

Participation restricted to members of the physics advanced study course or by individual permission

Contents

The integrated course 3 comprises a theory lecture on quantum field theory and a lecture on experimental nuclear and particle physics.

The lecture on nuclear and particle physics covers:

• Nuclei: Composition, mass, binding energy

• Nuclear models

• Nuclear decay, nuclear fission, nuclear power plants

• Scattering processes, Rutherfdors scattering, form factors

• Electron-nucleon scattering (elastic, resonance regime, deep-inelastic)

• Elementary fermions, Dirac equation

• Interactions, Feynman graphs and rules, local gauge invariance

• Electromagnetic intreraction in particle experiments

• Strong interaction, QCD, running coupling constant, confinement, asymptotic freedom, experimental investigation of strong interactions, hadron multiplets

• Weak interactions, parity violation, quark mmixing and CKM matrix, CP violation, pi and µ decay, e⁺e^- scattering on the Z resonance

• Neutrino physics

• The Standard Model: Electroweak unification and Higgs mechanism
  

(subject to smallish modifications).

The planned content of the QFT part is:

QT recap

• Operators, algebras, states, representations

• spectrum

Symmetries in QT

• groups, unitary representations, ray representations

• Lie groups and algebras

• Application: angular momentum, spin, isospin

Time evolution in QT

• Schrödinger, Heisenberg, interaction picture

• Dyson series, time dependent perturbation theory

• Propagators

• Feynman path integral 

QM with multiple particles

• tensor product

• identical particles

• Fock spaces

Relativistic QM

• Lorentz group and its representations

• scalars and Klein-Gordon equation

• spinors and Dirac equation

Classical field theory

• scalar fields, vector fields, spinors

• gauge fields

• symmetries, interactions

• Sketch of standard model action

Free quantum field theory

• free scalar, vector, spinor fields

• propagators

Structural aspects of quantum field theory

• Representation theory for the Poincare group, Wigner classification

• Spin-statistics

• scattering, LSZ Reduction

Perturbation theory

• Gell Man-Low magic formula

• Feynman diagrams, Feynman rules

• Divergencies, simple examples of renormalisation

The content is still subject to change.

UE: Tutorial for lecture "Quantum Field Theory, Nuclear and Particle Physics

Dozentinnen/Dozenten: Prof. Dr. Uli Katz, Prof. Dr. Hanno Sahlmann
Zeit und Ort: Mi 14:00 - 16:00, 10:00 - 12:00, Zoom-Meeting; Bemerkung zu Zeit und Ort: Die Zeiten werden in Absprache mit den Teilnehmer*innen endgültig festgelegt werden.
www: https://www.studon.fau.de/crs3660502.html