Lattice QCD Discretizations at Nonzero Chemical Potential

by Tobias Herrmann (Universität Bielefeld)

Thursday Nov 21, 2024, 2:15 PM → 3:45 PM Europe/Berlin

D6-135 (UHG)

This presentation provides an analysis of Quantum Chromodynamics (QCD) through lattice simulations, focusing on the behavior of fermions in both the free state and the quark-gluon plasma (QGP). 
A central theme of the discussion will be the coefficients cn in the Taylor expansion of the particle density with respect to the chemical potential μ, highlighting the differences between exponential and linear approaches to incorporating μ. 
The results indicate that the exponential approach aligns closely with analytical predictions, while the linear approach exhibits significant divergences, particularly in the coefficients c2 and c4. These divergences will be quantitatively analyzed, and methods for their elimination through temporal differences and appropriate fitting functions will be discussed. 
In the context of the QGP, the investigation shows that the divergent parts of the susceptibility coefficients in the full QCD case resemble those
observed in the free QCD case.
Overall, this work aims to enhance our understanding of QCD dynamics and the implications for strong interactions in various physical
regimes.

2024-11-21_Herrmann_Tobias.pdf