Theta vacuum and entanglement interaction in the three-flavor Polyakov-loop extended Nambu-Jona-Lasinio model

Abstract

We investigate theta-vacuum effects on the QCD phase diagram for the realistic 2+1 flavor system, using the three-flavor Polyakov-extended Nambu-Jona-Lasinio (PNJL) model and the entanglement PNJL model as an extension of the PNJL model. The theta-vacuum effects make the chiral transition sharper. For large theta-vacuum angle the chiral transition becomes first order even if the quark number chemical potential is zero, when the entanglement coupling between the chiral condensate and the Polyakov loop is taken into account. We finally propose a way of circumventing the sign problem on lattice QCD with finite theta.

9 pages, 14 figures, Published version

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Cited by in corpus (16)

• Polyakov loop modeling for hot QCD
• Theta dependence of the deconfinement temperature in Yang-Mills theories
• Phase diagram of Yang-Mills theories in the presence of a theta term
• Deconfinement, chiral symmetry restoration and thermodynamics of (2+1)--flavor hot QCD matter in an external magnetic field
• Confinement and Z_3 symmetry in three-flavor QCD
• CP violation and chiral symmetry breaking in hot and dense quark matter in presence of magnetic field
• Speed of sound in QCD matter
• Phase transition of strongly interacting matter with a chemical potential dependent Polyakov loop potential
• Deformed QCD phase structure and entropy oscillation in the presence of a magnetic background
• Speed of sound and liquid-gas phase transition in nuclear matter
• Baryon number fluctuations induced by hadronic interactions at low temperature and large chemical potential
• Practical approach to the sign problem at finite theta-vacuum angle
• A practical solution to the sign problem at finite theta-vacuum angle
• The interplay of the sign problem and the infinite volume limit: gauge theories with a theta term
• Quark matter with an anisotropic momentum distribution
• First-order CP phase transition in two-flavor QCD at $\theta =\pi$ under electromagnetic scale anomaly via a Nambu-Jona-Lasinio description