Possible formation of high temperature superconductor at early stage of heavy-ion collisions

Abstract

We investigate the effect of the inverse magnetic catalysis (IMC) on the charged $\rho$ meson condensation at finite temperature in the framework of the Nambu--Jona-Lasinio model, where mesons are calculated to the leading order of $1/N_c$ expansion by summing up infinity quark-loops. IMC for chiral condensate has been considered in three different ways, i.e. fitting Lattice data, using the running coupling constant and introducing the chiral chemical potential, respectively. It is observed that, with no IMC effect included, the critical magnetic field $e{B}_c$ for charged $\rho$ condensation increases monotonically with the temperature. However, including IMC substantially affects the polarized charged $\rho$ condensation around the critical temperature $T_c$ of chiral phase transition, the critical magnetic field $e{B}_c$ for charged $\rho$ condensation decreases with the temperature firstly, reaches to a minimum value around $T_c$, then increases with the temperature. Our calculation indicates that the charged $\rho$ condensation can exist in the temperature region of $1-1.5T_c$ with critical magnetic field $e{B}_c\sim 0.15-0.3{\mathrm{GeV}}^2$, which suggests that high temperature superconductor might be created through non-central heavy ion collisions at LHC energies. We also show that a growing electric conductivity in early stage of non-central heavy-ion collisions substantially delays the decay of strong magnetic field, which is helpful for the formation of the high temperature superconductor.

References in corpus (23)

• The Chiral Magnetic Effect
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Charge separation induced by P-odd bubbles in QCD matter
• QCD Phase Transition in a Strong Magnetic Background
• Superconductivity of QCD vacuum in strong magnetic field
• Inverse magnetic catalysis in the (2+1)-flavor Nambu--Jona-Lasinio and Polyakov--Nambu--Jona-Lasinio models
• Spontaneous electromagnetic superconductivity of vacuum in strong magnetic field: evidence from the Nambu--Jona-Lasinio model
• Chiral Properties of Strong Interactions in a Magnetic Background
• The chiral condensate in a constant electromagnetic field
• Spontaneous generation of local CP violation and inverse magnetic catalysis
• Two-color QCD with staggered fermions at finite temperature under the influence of a magnetic field
• Inverse Magnetic Catalysis in Nambu--Jona-Lasinio Model beyond Mean Field
• Study of QCD Phase Diagram with Non-Zero Chiral Chemical Potential
• Entanglement between chiral and deconfinement transitions under strong uniform magnetic background field
• Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models
• Electromagnetic response of quark-gluon plasma in heavy-ion collisions
• Charged and neutral vector meson under magnetic field
• Catalysis of Dynamical Chiral Symmetry Breaking by Chiral Chemical Potential
• The effect of the chiral chemical potential on the chiral phase transition in the NJL model with different regularization schemes
• Inverse Magnetic Catalysis in the three-flavor NJL model with axial-vector interaction
• Vafa-Witten theorem, vector meson condensates and magnetic-field-induced electromagnetic superconductivity of vacuum
• Chiral Relaxation Time at the Crossover of Quantum Chromodynamics
• Amending the Vafa-Witten Theorem

Cited by in corpus (14)

• Neutral and charged (pseduo)scalar mesons and diquarks under magnetic fields
• Pions in magnetic field at finite temperature
• Meson properties in magnetized quark matter
• The pole and screening masses of neutral pion in hot and magnetized medium: a comprehensive study in the Nambu--Jona-Lasinio model
• 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
• Mass spectra of neutral mesons $K_0,{\pi }_0,\eta ,{\eta }^{\prime }$ at finite magnetic field, temperature and baryon chemical potential
• Magnetic catalysis and diamagnetism from pion fluctuations
• Second-order quark number susceptibility of deconfined QCD matter in the presence of a magnetic field
• Charged meson masses under strong magnetic fields: gauge invariance and Schwinger phases
• Pion superfluid phase transition under external magnetic field including inverse magnetic catalysis effect
• Correlations and fluctuations in a magnetized PNJL model with and without inverse magnetic catalysis effect
• Spectral function for pions in magnetic field
• Correlations and fluctuations in a magnetized three-flavor PNJL model with and without inverse magnetic catalysis effect