$\rho$ condensation and physical parameters

Abstract

Recently we showed how a non-local Nambu-Jona-Lasinio model comes out from QCD in the low-energy limit. In this way, it is possible to fix all the free parameters of the model with physical ones. We use this approach to derive a local limit to the Nambu-Jona-Lasinio model with the parameters those obtained from QCD in order to fix the physical parameters of $\rho$ condensation. $\rho$ condensation is a consequence of the highly non-trivial behavior of the QCD vacuum in presence a very strong magnetic field giving rising to superconductive behavior in quark matter. Determination of the proper parameters for this state can be an important helpful guide to identify it experimentally.

17 pages, 2 figures. Version accepted for publication in Journal of High Energy Physics

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• Quark magnetar in three-flavor Nambu--Jona-Lasinio model with vector interaction and magnetized gluon potential
• Heavy meson spectroscopy under strong magnetic field
• Recent progresses on QCD phases in a strong magnetic field -- views from Nambu--Jona-Lasinio model
• Critical Temperature of Chiral Symmetry Restoration for Quark Matter with a Chiral Chemical Potential
• The pole and screening masses of neutral pion in hot and magnetized medium: a comprehensive study in the Nambu--Jona-Lasinio model
• Vector Meson Masses from Hidden Local Symmetry in Constant Magnetic Field
• Confining and chiral properties of QCD in extremely strong magnetic fields
• Extracting the magnitude of magnetic field at freeze-out in heavy-ion collisions
• Impacts of (inverse) magnetic catalysis on screening masses of neutral pions and sigma mesons in hot and magnetized quark matter
• Topological susceptibility, divergent chiral density and phase diagram of chirally imbalanced QCD medium at finite temperature
• Possible formation of high temperature superconductor at early stage of heavy-ion collisions
• Mass spectra of neutral mesons $K_0,{\pi }_0,\eta ,{\eta }^{\prime }$ at finite magnetic field, temperature and baryon chemical potential
• On a novel evalutation of the hadronic contribution to the muon's $g-2$ from QCD
• Further Investigation on Model-Independent Probe of Heavy Neutral Higgs Bosons at the LHC Run 2
• Nonlocal Nambu-Jona-Lasinio model and chiral chemical potential
• Finite temperature corrections to a NLO Nambu-Jona-Lasinio model
• Phonon spectrum of QCD vacuum in magnetic-field-induced superconducting phase
• Analysis of $\rho$ condensation in a Nambu-Jona-Lasinio model
• Running mass of the gluon propagator in the Landau gauge