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Q2: Ground states and spectral properties of quantum field theories

Principal Investigators: Hasler, Lenz

Quantum field theories are investigated, which are used to describe quantum mechanical matter interacting with quantized fields, such as the electromagnetic field of radiation or a field of phonons.
The Hamiltonians of these quantum field theories are analyzed using techniques from funtional analysis and probability theory as well as renormalization group methods.

Examples of Ph.D. topics

  1. Analytizität entarteter Zustände in der Quantenfeldtheorie
  2. Grundzustände in Spin-Boson-Modellen und langreichweitige Ising Modelle
  3. Operatortheoretische Renormierung in Bosonensystemen