Roberge-Weiss Transitions for Three Quark Flavors

by Adam Pieczynski (Universität Bielefeld)

Monday Nov 25, 2024, 4:15 PM → 5:45 PM Europe/Berlin

D6-135 (UHG)

 

Introducing an imaginary chemical potential into finite temperature QCD can unveil an interesting phase structure, within the context of the QCD phase diagram. An advantage of studying this phenomenon is that it naturally evades the sign problem, making it accessible to lattice computations.

In the high-temperature (perturbative) regime, the theory will enter different phases, depending on the value of this imaginary chemical potential. These phases can be analyzed via determining the minima of the one-loop effective potential as a function of the Polyakov loop angle.

These phase transitions are expected to be absent in the low-temperature regime, possibly revealing information about the confining/deconfining properties of the theory. This analysis has been conducted by Nathan Weiss and Andre Roberge in their seminal paper in ‘86 for the case where all quark flavors are assigned the same value for the chemical potential.

In this talk, I am going to generalize this notion to multiple fermion flavors, each equipped with an individual chemical potential, with the goal of explicitly computing the phase diagram at high temperatures. In particular, I will present an analytic approach to solving the two flavor case and

discuss numerical solutions of the three flavor case, explaining why they look surprisingly different.

2024-11-25_Pieczynski_Adam.pdf