Friederike Ihssen

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Renormalisation group (RG) approaches provide a non-perturbative framework for studying strongly correlated quantum many-body systems and quantum field theories. As an introductory example, I will present recent results on the finite-temperature phase diagram of the Gross–Neveu–Yukawa model describing the relativistic Mott transition in two-dimensional Dirac semimetals. Here, the RG provides a unified description of the quantum critical point, the classical phase transition at finite temperature, emergent Lorentz symmetry and the quantum critical fan.
The second part of my talk outlines the use of scale-dependent field reparametrisations: This recently rediscovered, generalized version of the RG allows for the implementation of additional constraints within the scheme, such as the construction of self-adjusting expansion schemes or the implementation of symmetry constraints in the RG flow. Finally, I will discuss connections to generative architectures and Monte Carlo sampling.

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University of Bochum
0.03
Contact: Orla Supple