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.

arXiv comment9 pages, 16 figures

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Cited by in corpus (30)

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• Cluster Expansion Model for QCD Baryon Number Fluctuations: No Phase Transition at ${\mu }_B/T<\pi$
• Curvature of the chiral pseudo-critical line in QCD
• Roberge-Weiss endpoint at the physical point of $N_f=2+1$ QCD
• The $N_f=2$ QCD chiral phase transition with Wilson fermions at zero and imaginary chemical potential
• Anomaly matching in QCD thermal phase transition
• Deconfinement critical point of lattice QCD with $N_{\mathrm{f}}=2$ Wilson fermions
• Lattice Constraints on the QCD Chiral Phase Transition at Finite Temperature and Baryon Density
• Roberge-Weiss endpoint and chiral symmetry restoration in $N_f=2+1$ QCD
• Roberge-Weiss transition in $N_{\text{f}}=2$ QCD with Wilson fermions and $N_{\tau }=6$
• Towards the chiral phase transition in the Roberge-Weiss plane
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• Nature of Roberge-Weiss transition end points for heavy quarks in $N_f=2$ lattice QCD with Wilson fermions
• Gauge-invariant screening masses and static quark free energies in $N_f=2+1$ QCD at non-zero baryon density
• Finite size and cut-off effects on the Roberge-Weiss transition in $N_{\text{f}}=2$ QCD with Staggered fermions
• Constraining the QCD phase diagram at finite temperature and density
• Phase diagrams of vortex matter with multi-scale inter-vortex interactions in layered superconductors
• Localization properties of Dirac modes at the Roberge-Weiss phase transition
• Locating the QCD critical point through contours of constant entropy density
• Overview of the QCD phase diagram -- Recent progress from the lattice
• Classification of sign-problem-free relativistic fermions on the basis of the Majorana positivity
• Study of the Roberge-Weiss phase caused by external uniform classical electric field using lattice QCD approach
• Study of the effects of external imaginary electric field and chiral chemical potential on quark matter
• Roberge-Weiss transitions at different center symmetry breaking patterns in a ${\mathbb{Z}}_3$-QCD model
• Locations of Roberge-Weiss transition endpoints in lattice QCD with $N_f=2$ improved KS quarks
• CL2QCD - Lattice QCD based on OpenCL
• The $N_f=2$ chiral phase transition from imaginary chemical potential with Wilson Fermions