The nature of the Roberge-Weiss transition in $N_f=2$ QCD with Wilson fermions

Abstract

At imaginary values of the quark chemical potential $\mu$, Quantum Chromodynamics shows an interesting phase structure due to an exact center, or Roberge-Weiss (RW), symmetry. This can be used to constrain QCD at real $\mu$, where the sign problem prevents Monte Carlo simulations of the lattice theory. In previous studies of this region with staggered fermions it was found that the RW endpoint, where the center transition changes from first-order to a crossover, depends non-trivially on the quark mass: for high and low masses, it is a triple point connecting to the deconfinement and chiral transitions, respectively, changing to a second-order endpoint for intermediate mass values. These parameter regions are separated by tricritical points. Here we present a confirmation of these findings using Wilson fermions on $N_{\tau }=4$ lattices. In addition, our results provide a successful quantitative check for a heavy quark effective lattice theory at finite density.

9 pages, 16 figures

References in corpus (4)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• The chiral critical point of Nf=3 QCD at finite density to the order (mu/T)^4
• The Roberge-Weiss endpoint in N_f = 2 QCD
• Imaginary Chemical Potential Approach for the Pseudo-Critical Line in the QCD Phase Diagram with Clover-Improved Wilson Fermions

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