Hybrid RBRC seminar

"Lee-Yang zeroes from the functional renormalisation group"

Presented by Friederike Ihssen, ITP Heidelberg

Thursday, November 10, 2022, 12:30 pm — Hybrid: Bldg. 510 room 2-160

Abstract: As a precursor for a quantitative study in QCD we discuss the impact of fluctuations in a simple low energy effective theory, the non-linear sigma model. We show that in this model the location of the phase transition can accurately be determined by tracking the Lee-Yang singularities in the complex plane.

For this purpose, we set up a general functional renormalisation group framework for the computation of complex effective actions. We consider both flows the Wilsonian effective action and the one-particle irreducible (1PI) effective action. In the present implementations of the general approaches, the flow of the Wilsonian effective action has a wider range of applicability and we obtain results for the effective potential of complex fields in φ4-theories from zero up to four dimensions. The complex effective action allows us to determine the location of the Lee-Yang zeros for general parameter values.

Hosted by: Nobuyuki Matsumoto

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