SMuK 2023 – scientific programme
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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 9: AdS/CFT Correspondence and Hydrodynamic Transport
MP 9.2: Talk
Thursday, March 23, 2023, 11:30–11:50, ZEU/0250
Obtaining Transport Coefficients from Functional Renormalization Group Methods — •Tim Stötzel1, Lars Heyen2, and Stefan Flörchinger1 — 1Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany — 2Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120 Heidelberg, Germany
The description of transport processes requires knowledge of their respective transport coefficients like viscosities or conductivities. Determining these quantities from a first principle approach can be done by the use of quantum field theories.
We make use of the well known Kubo formulas and apply them to a field theory at finite temperature in a non-perturbative approach. The transport coefficients can be derived by the use of renormalization group flow equations resulting in a flow equation for the near-equilibrium coefficients.
The method is applied to a massive, self-interacting scalar field and the shear viscosity is calculated for this toy model at finite temperature. We show a possible truncation ansatz for the Wetterich equation that generates a flow of the shear viscosity coefficient and comment on its relation to the properties of the microscopic theory.