An innovative approach for sketching the QCD phase diagram within the NJL model using Lagrange Multipliers

Abstract

We develop a new approach for sketching the quantum chromodynamics phase-diagram within the Nambu--Jona-Lasinio model for arbitrarily large values of the coupling constant, temperature and chemical potential based upon the strategy of Lagrange multipliers that constrains the corresponding gap equation and its mass gradient. Our approach distinguishes continuous from discountinuous phase transitions and thus is capable of locating the position of the Critical End Point from the thermodynamical parameters of the model alone, without direct reference to the chiral susceptibility or any other observable. The approach can be straightforwardly extended to those effective chiral quark models with a momentum independent constituent quark mass.

arXiv comment7 pages, 5 figures

References in corpus (19)

• Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
• The chiral and deconfinement aspects of the QCD transition
• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• Chiral effective model with the Polyakov loop
• Enhanced production of multi-strange hadrons in high-multiplicity proton-proton collisions
• Non-Gaussian fluctuations near the QCD critical point
• On the sign of kurtosis near the QCD critical point
• The QCD phase transition with physical-mass, chiral quarks
• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• Chiral Symmetry Restoration and $Z_N$ Symmetry
• Freeze-out conditions from net-proton and net-charge fluctuations at RHIC
• Hadron Properties and Dyson-Schwinger Equations
• Extended NJL Model for light and heavy mesons without q-qbar thresholds
• Renormalization Group Approach towards the QCD Phase Diagram
• Pion form factor from a contact interaction
• The first second of the Universe
• On covariant nonlocal chiral quark models with separable interactions
• Thermodynamics of two-flavor lattice QCD with an improved Wilson quark action at non-zero temperature and density
• Critical chiral hypersurface of the magnetized NJL model

Cited by in corpus (1)

• QCD phase diagram in a magnetized medium from the chiral symmetry perspective: The linear sigma model with quarks and the Nambu--Jona-Lasinio model effective descriptions