Roberge-Weiss endpoint and chiral symmetry restoration in $N_f=2+1$ QCD

Abstract

We investigate the fate of the Roberge-Weiss endpoint transition and its connection with the restoration of chiral symmetry as the chiral limit of $N_f=2+1$ QCD is approached. We adopt a stout staggered discretization on lattices with $N_t=4$ sites in the temporal direction; the chiral limit is approached maintaining a constant physical value of the strange-to-light mass ratio and exploring three different light quark masses, corresponding to pseudo-Goldstone pion masses $m_{\pi }\simeq 100,70$ and 50 MeV around the transition. A finite size scaling analysis provides evidence that the transition remains second order, in the 3D Ising universality class, in all the explored mass range. The residual chiral symmetry of the staggered action also allows us to investigate the relation between the Roberge-Weiss endpoint transition and the chiral restoration transition as the chiral limit is approached: our results, including the critical scaling of the chiral condensate, are consistent with a coincidence of the two transitions in the chiral limit; however we are not able to discern the symmetry controlling the critical behavior, because the critical indexes relevant to the scaling of the chiral condensate are very close to each other for the two possible universality classes (3D Ising or O(2)).

arXiv comment12 pages, 18 figure, 5 tables

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• Towards the chiral phase transition in the Roberge-Weiss plane
• Quark and Polyakov-loop correlations in effective models at zero and non-vanishing density
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• High-temperature domain walls of QCD with imaginary chemical potentials
• Constraining the QCD phase diagram at finite temperature and density
• Finite size and cut-off effects on the Roberge-Weiss transition in $N_{\text{f}}=2$ QCD with Staggered fermions
• Localization properties of Dirac modes at the Roberge-Weiss phase transition
• Study of the effects of external imaginary electric field and chiral chemical potential on quark matter
• Roberge-Weiss periodicity, canonical sector and modified Polyakov-loop
• Roberge-Weiss transitions at different center symmetry breaking patterns in a ${\mathbb{Z}}_3$-QCD model
• Lattice QCD at Imaginary Chemical Potential in the Chiral Limit
• On the nature of the QCD chiral phase transition with imaginary chemical potential