Quark Matter in a Strong Magnetic Background

Gatto, R.; Ruggieri, Marco

doi:10.1007/978-3-642-37305-3_4

Cited by 65 publications

(76 citation statements)

References 159 publications

(280 reference statements)

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“…The interaction strength in chiral effective models may have some nontrivial dependence on B so that this dependence, if the interaction gets weaker with larger B, can overcome the magnetic catalyzing effect (see Ref. [22] for a review and references therein). Such behavior of the interaction weakened by stronger B may well be consistent with the asymptotic freedom of QCD if the relevant scale is given by √ eB [23,24].…”

Section: Yoshimasa Hidakamentioning

confidence: 99%

Magnetic Shift of the Chemical Freeze-out and Electric Charge Fluctuations

Fukushima

Hidaka

2016

Phys. Rev. Lett.

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We discuss the effect of a strong magnetic field on the chemical freezeout points in the ultrarelativistic heavy-ion collision. As a result of the inverse magnetic catalysis or the magnetic inhibition, the crossover onset to hot and dense matter out of quarks and gluons should be shifted to a lower temperature. To quantify this shift we employ the hadron resonance gas model and an empirical condition for the chemical freezeout. We point out that the charged particle abundances are significantly affected by the magnetic field so that the electric charge fluctuation is largely enhanced especially at high baryon density. The charge conservation partially cancels the enhancement but our calculation shows that the electric charge fluctuation and the charge chemical potential could serve as a magnetometer. We find that the fluctuation exhibits a crossover behavior rapidly increased for eB (0.4 GeV) 2 , while the charge chemical potential has better sensitivity to the magnetic field. Introduction: Magnetic fields provide us with a useful probe to reveal non-trivial topological contents of the ground state of matter or the vacuum in quantum field theories. Dynamics of quarks, gluons, and composites is also significantly affected by an external magnetic field if its strength is comparable to the typical scale in quantum chromodynamics (QCD); i.e. Λ QCD ∼ 0.2 GeV. There are many works dedicated to strong magnetic field effects in the condensed matter and the neutron star environment [1, 2], in the early universe [3], and recently, more and more theoretical and experimental studies have been inspired by a possibility of gigantic magnetic fields created in the ultra-relativistic heavy-ion collision [4]. There are transport model simulations [5] that have verified an order estimate by simple classical modeling, leading to a compact formula [6,7]: eB(t) = eB 0 [1+(t/t 0 ) 2 ] −3/2 with eB 0 (0.05GeV) 2 (1fm/b) 2 Z sinh Y where the atomic number is Z = 79 in the Au-Au collision and the beam rapidity can be approximated as sinh Y √ s N N /(2m N )

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Section: Yoshimasa Hidakamentioning

confidence: 99%

Magnetic Shift of the Chemical Freeze-out and Electric Charge Fluctuations

Fukushima

Hidaka

2016

Phys. Rev. Lett.

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“…Most of the properties of the quark condensates in the presence of an external magnetic field were previously obtained with the two flavor version of the PNJL and EPNJL models [15,34]. Recently, the effects of an external magnetic field on the fluctuations and correlations of the quark number and conserved charges were studied in the 2 þ 1 PNJL model [35].…”

Section: Model and Formalismmentioning

confidence: 99%

“…Fields of this intensity affect the QCD phase diagram as shown in [6]. Therefore, understanding the effect of an external magnetic field on the structure of the QCD phase diagram is very important, and this has already led to several studies [7][8][9][10][11][12][13], in particular, at zero chemical potential μ ¼ 0 (the T − eB plane); see [14][15][16][17] for a review.…”

Section: Introductionmentioning

confidence: 99%

Phase transition and critical end point driven by an external magnetic field in asymmetric quark matter

et al. 2014

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The location of the critical end point (CEP) in the QCD phase diagram is determined under different scenarios. The effect of strangeness, isospin/charge asymmetry and an external magnetic field is investigated. The discussion is performed within the 2 þ 1 flavor Nambu-Jona-Lasinio model with Polyakov loop. It is shown that isospin asymmetry shifts the CEP to larger baryonic chemical potentials and smaller temperatures. At large asymmetries the CEP disappears. However, a strong enough magnetic field drives the system into a first order phase transition.

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“…However, recent improved lattice calculations have found the opposite behavior 3,4,5 . The Nambu-Jona-Lasinio (NJL) model and extensions including the Polyakov Loop (PNJL) have been considered for the study of chiral and deconfinement phase transitions in the presence of strong magnetic field 12,6,13,14,15,16,17,18,19 . The nonlocal Nambu-Jona-Lasinio (nNJL) models are an attempt to improve NJL model in a more realistic way, inspired in low energy approaches as DysonSchwinger ressumation, lattice results, instantons liquid model and one gluon exchange models 20,21,22,23,24 .…”

Section: Introductionmentioning

confidence: 99%

Weak magnetic field effects on chiral critical temperature in a nonlocal Nambu–Jona-Lasinio model

Loewe

Márquez

Villavicencio

et al. 2015

Int. J. Mod. Phys. A

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In this article we study the nonlocal Nambu-Jona-Lasinio model with a Gaussian regulator in the chiral limit. Finite temperature effects and the presence of a homogeneous magnetic field are considered. The magnetic evolution of the critical temperature for chiral symmetry restoration is then obtained. Here we restrict ourselves to the case of low magnetic field values, being this a complementary discussion to the exisiting analysis in nonlocal models in the strong magnetic field regime.

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Quark Matter in a Strong Magnetic Background

Cited by 65 publications

References 159 publications

Magnetic Shift of the Chemical Freeze-out and Electric Charge Fluctuations

Magnetic Shift of the Chemical Freeze-out and Electric Charge Fluctuations

Phase transition and critical end point driven by an external magnetic field in asymmetric quark matter

Weak magnetic field effects on chiral critical temperature in a nonlocal Nambu–Jona-Lasinio model

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