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Gießen 2024 – wissenschaftliches Programm

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HK: Fachverband Physik der Hadronen und Kerne

HK 45: Heavy-Ion Collisions and QCD Phases X

HK 45.1: Vortrag

Mittwoch, 13. März 2024, 15:45–16:00, HBR 62: EG 05

Towards locating the (real) critical end point — •Friederike Ihssen1 and Jan Martin Pawlowski1,21Institut für Theoretische Physik, Philosophenweg 16, 69120 Heidelberg, Germany — 2ExtreMe Matter Institute EMMI, GSI, Planckstr. 1, 64291 Darmstadt, Germany

Lattice simulations and functional approaches established that QCD has no phase transition at small baryon chemical potential. However, second order phase transitions are expected at the conjectured critical endpoint at larger chemical potential and in the chiral limit at vanishing chemical potential.

These phase transitions leave an imprint as Lee-Yang edge singularities and can be found at high temperatures T>Tc for complex magnetisation and complex chemical potential. For an increasing real part of the chemical potential, the edge singularity moves towards the real µB-axis, potentially allowing for an extrapolation to the critical endpoint.

As a precursor for a quantitative study in QCD we discuss the impact of fluctuations in a low energy effective theory. 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. We close by discussing the remaining task of extending this computation to full QCD.

Keywords: Lee-Yang zeroes; functional renormalization group; QCD phase structure; low energy effective theory

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