Abstract
Using a nonlocal version of the Polyakov-loop-extended Nambu-Jona-Lasinio model, we investigate effects of a nonderivative vector-current interaction (relating to the quark-number density) at both real and imaginary chemical potentials. This repulsive vector interaction between quarks has the following impact on the chiral first-order phase transition: at imaginary chemical potential it sharpens the transition at the Roberge-Weiss (RW) end point and moves this critical point toward lower temperatures; at real chemical potential, the critical end point moves on a trajectory towards larger chemical potentials and lower temperatures with increasing vector coupling strength. The conditions are discussed at which the first-order phase transition disappears and turns into a smooth crossover.
Highlights
Exploring the phase diagram of quantum chromo-dynamics (QCD) at finite temperature and real chemical potential is one of the most interesting and important subjects in particle and nuclear physics
This repulsive vector interaction between quarks has the following impact on the chiral first-order phase transition: at imaginary chemical potential it sharpens the transition at the Roberge-Weiss (RW) end point and moves this critical point toward lower temperatures; at real chemical potential, the critical end point moves on a trajectory towards larger chemical potentials and lower temperatures with increasing vector coupling strength
LQCD suffers from the so-called sign problem which restricts the applicability of LQCD to the region of small real chemical potential R and high temperatures
Summary
Exploring the phase diagram of quantum chromo-dynamics (QCD) at finite temperature and real chemical potential is one of the most interesting and important subjects in particle and nuclear physics. A promising strategy for studying the QCD phase diagram at finite R is the imaginary-chemical-potential matching approach [3]. In the imaginary-chemical-potential matching approach we extract some important restrictions for the model design from the I region. This allows us to extend the model to the real-chemical-potential region more realistically The Polyakov-loop-extended Nambu-Jona-Lasinio (PNJL) model is a promising approach as it preserves the RW periodicity in the same way as QCD. We describe in detail the treatment of the vector-type interaction in the nonlocal framework We show how this approach can be extended to imaginary chemical potentials.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
