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Effective Field Theories 
Winter semester 2014/15
Chair of Theoretical Physics (T39) - Applied Quantum Field Theory (N.N.)
(Contact information)
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The lecture course will provide an introduction to effective field theories (EFTs) and renormalization techniques with applications ranging from high energy to atomic physics. The following topics will be covered:

* Principles of EFTs
o Scales and systems in nature
o What is an EFT and how to construct it
o Example: the Euler-Heisenberg Lagrangian
o Example: the Fermi theory of weak interactions at tree level
o Example: the Rayleigh scattering
o Relevant, irrelevant and marginal operators
o Quantum loops of irrelevant operators
o Mass-dependent vs mass-independent regularization schemes
o Dimensional regularization
o Quantum loops of marginal operators
o Example: β function and running coupling constant in QED and QCD
o Decoupling theorem
o Example: the one and two loop matching of the QCD strong-coupling constant in MSbar
o Renormalization group equations in QFTs and EFTs
o Anomalous dimensions
o Mixing
o Example: ΔS = 2 transition amplitude in the Fermi theory of weak interactions
* Heavy quark effective theory
o Heavy-light meson spectrum
o Heavy-quark spin-flavour symmetry
o Static Lagrangian
o Spectroscopy implications
o Heavy meson decay constants
o Transition form factors: Isgur-Wise functions
o Example: B → D transitions and calculation of dΓ(B → D e ν)/dq²
o Renormalization of composite operators
o Example: heavy-light currents and heavy-heavy currents
o Heavy meson decay constants at LL and NLO
o The 1/m expansion of the HQET Lagrangian
o Reparameterization invariance
o Chromomagnetic coupling and hyperfine splitting at LL
o Decoupling in the HQET
o B → D e ν and Luke's theorem
* Applications to atomic physics
o Bound states in QED: physical picture, scales, degrees of freedom
o NRQED: Lagrangian, power counting, matching
o Four-fermion operators
o Example: matching of dimension six four-fermion operators and the positronium decay width
o pNRQED: Lagrangian, power counting, matching
o Example: the hydrogen atom and the Lamb shift
o Example: the Rayleigh scattering in pNRQED
Quantum Mechanics 1 + 2 and some basic knowledge of Quantum Field Theory and the Standard Model
  • English
  • German
Für die Anmeldung zur Teilnahme müssen Sie sich in TUMonline als Studierende*r identifizieren.