Ferromagnetism of quark liquid

Tatsumi, Toshitaka

doi:10.1016/s0370-2693(00)00927-8

Cited by 141 publications

(253 citation statements)

References 16 publications

(17 reference statements)

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“…Actually Yang & Luo (1983) found that the quark-cluster phase with parallel spins is energetically favored due to the color-magnetic interaction and that the correspondent Curie temperature is ∼10 2 MeV. The ferromagnetism issue has also been noted recently by Tatsumi (2000), who suggested that the Hartree-Fock state with the inclusion of spin polarization shows a spontaneous magnetic instability at low densities through the same mechanism as in electron gas. (2) The calculation of the cooling behavior of strange stars should include the energy release as quark matter solidifies.…”

Section: Discussionmentioning

confidence: 87%

Solid Quark Stars?

2003

ApJ

205

241

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It is conjectured that cold quark matter with very high baryon density could be in a solid state, and strange stars with low temperatures should thus be solid stars. The speculation could be close to the truth if no peculiar polarization of thermal X-ray emission (as in, e.g., RX J1856) or no gravitational wave in postglitch phases are detected in future advanced facilities or if spin frequencies beyond the critical ones limited by r-mode instability are discovered. The shear modulus of solid quark matter could be ∼10 32 ergs cm Ϫ3 if the kilohertz quasi-periodic oscillations observed are relevant to the eigenvalues of the center star oscillations.

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Section: Discussionmentioning

confidence: 87%

Solid Quark Stars?

2003

ApJ

205

241

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“…Besides, there might be some additional mechanism to sustain the magnetic field from back-reaction of charged particles [8]. Also, it is worth mentioning that the quark matter ground state could be ferromagnetic [9], which would further enhance the initially generated magnetic field.…”

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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“…We have considered the possibility of ferromagnetism in quark matter interacting with the one-gluon-exchange (OGE) interaction [5] or with an effective interaction [6], and suggested that quark matter has a potentiality to be spontaneously polarized. To understand the magnetic properties of quark matter more realistically , especially near the critical point, some non-perturbative consideration about the instability of the Fermi surface is indispensable.…”

Section: Relativistic Ferromagnetismmentioning

confidence: 99%