Probing the QCD vacuum with an abelian chromomagnetic field: A study within an effective model

Abstract

We study the response of the QCD vacuum to an external abelian chromomagnetic field in the framework of a non local Nambu-Jona Lasinio model with the Polyakov loop. We use the Lattice results on the deconfinement temperature of the pure gauge theory to compute the same quantity in the presence of dynamical quarks. We find a linear relationship between the deconfinement temperature with quarks and the squared root of the applied field strength, $gH$, in qualitative (and to some extent also quantitative) agreement with existing Lattice calculations. On the other hand, we find a discrepancy on the approximate chiral symmetry restoration: while Lattice results suggest the deconfinement and the chiral restoration remain linked even at non-zero value of $gH$, our results are consistent with a scenario in which the two transitions are separated as $gH$ is increased.

14 pages, 7 figures, RevTeX4. Published version, with enlarged abstract and minor changes in the main text

References in corpus (55)

• QCD Phenomenology based on a Chiral Effective Lagrangian
• NJL-model analysis of dense quark matter
• Chiral effective model with the Polyakov loop
• The QCD transition temperature: results with physical masses in the continuum limit
• Phases of QCD: lattice thermodynamics and a field theoretical model
• Lattice determination of the critical point of QCD at finite T and μ
• The QCD transition temperature: results with physical masses in the continuum limit II.
• Equation of state and QCD transition at finite temperature
• Finite density QCD via imaginary chemical potential
• The Phase Structure of the Polyakov--Quark-Meson Model
• Polyakov loop, diquarks and the two-flavour phase diagram
• Phase diagrams in the three-flavor Nambu--Jona-Lasinio model with the Polyakov loop
• Thermodynamics of Two Flavor QCD to Sixth Order in Quark Chemical Potential
• Dimensional Reduction and Catalysis of Dynamical Symmetry Breaking by a Magnetic Field
• The QCD Phase Diagram for Three Degenerate Flavors and Small Baryon Density
• Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops
• Chiral Symmetry Restoration and $Z_N$ Symmetry
• Polyakov loop in chiral quark models at finite temperature
• Mesonic correlation functions at finite temperature and density in the Nambu-Jona-Lasinio model with a Polyakov loop
• Magnetic catalysis and anisotropic confinement in QCD
• 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential
• Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop
• QCD thermodynamics from an imaginary mu_B: results on the four flavor lattice model
• The density of states method at non-zero chemical potential
• A nonlocal, covariant generalisation of the NJL model
• Dynamics and thermodynamics of a nonlocal Polyakov--Nambu--Jona-Lasinio model with running coupling
• Theory of the Magnetic Catalysis of Chiral Symmetry Breaking in QED
• Three flavor Nambu-Jona Lasinio model with Polyakov loop and competition with nuclear matter
• The strongly interacting Quark Gluon Plasma, and the critical behaviour of QCD at imaginary chemical potential
• Direct extraction of the chiral quark condensate and bounds on the light quark masses
• Quark number susceptibilities: lattice QCD versus PNJL model
• Quark Number Fluctuations in a Chiral Model at Finite Baryon Chemical Potential
• Polyakov loop extended NJL model with imaginary chemical potential
• Phase of the Fermion Determinant at Nonzero Chemical Potential
• QCD vacuum structure in strong magnetic fields
• Nonlocal SU(3) chiral quark models at finite temperature: the role of the Polyakov loop
• Universality and the magnetic catalysis of chiral symmetry breaking
• On covariant nonlocal chiral quark models with separable interactions
• Modelling the quark propagator
• Chiral Lagrangian at finite temperature from the Polyakov-Chiral Quark Model
• Finite T meson correlations and quark deconfinement
• Phase diagram of neutral quark matter in nonlocal chiral quark models
• Electrical neutrality and pion modes in the two flavor PNJL model
• Parametrization of a nonlocal, chiral quark model in the instantaneous three-flavor case. Basic formulas and tables
• The Influence of an External Chromomagnetic Field on Color Superconductivity
• Effects of mesonic correlations in the QCD phase transition
• Remarks on the multi-parameter reweighting method for the study of lattice QCD at non-zero temperature and density
• Enforced neutrality and color-flavor unlocking in the three-flavor Polyakov-loop NJL model
• Abelian chromomagnetic fields and confinement
• Polyakov loop and the color-flavor locked phase of Quantum Chromodynamics
• Chromomagnetic Catalysis of Color Superconductivity in a (2+1)-dimensional NJL Model
• Color Dynamics in External Fields
• QCD dynamics in a constant chromomagnetic field
• Nonlocality effects on Color Spin Locking condensates
• Quark and pion condensation in a chromomagnetic background field

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• Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models
• Color neutral 2SC phase of cold and dense quark matter in the presence of constant magnetic fields
• Magnetized color superconducting cold quark matter within the SU(2)${}_f$ NJL model: a novel regularization scheme
• Quark Matter in a Strong Magnetic Background
• Extensions and further applications of the nonlocal Polyakov--Nambu--Jona-Lasinio model
• BEC-BCS crossover in a cold and magnetized two color NJL model
• Cooper pairing and finite-size effects in a NJL-type four-fermion model
• Confinement Mechanism in the Field Correlator Method
• Magnetized color superconducting quark matter under compact star conditions: Phase structure within the SU(2)f NJL model
• Chiral MHD description of a perfect magnetized QGP using the effective NJL model in a strong magnetic field