Color ferromagnetism in quark matter

Iwazaki, Aiichi; Morimatsu, Osamu

doi:10.1016/j.physletb.2003.07.061

Cited by 14 publications

(49 citation statements)

References 19 publications

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“…We have shown [7] that the quarks play an important role for the stabilization of the color magnetic field. Namely, unstable modes of gluons, which are present [13] under the color magnetic field, have been shown to be stabilized with their condensation, just as scalar fields in Higgs potentials.…”

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Color ferromagnetism of quark matter: A possible origin of a strong magnetic field in magnetars

Iwazaki

2005

Phys. Rev. D

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We show a possibility that strong "magnetic field" ∼ 10 15 G is produced by color ferromagnetic quark matter in neutron stars. In the quark matter a color magnetic field is generated spontaneously owing to Savvidy mechanism and a gluon condensate arises for the stabilization of the field. Since the quark matter is electrically charged in the neutron stars, the rotation of the quarks around the color magnetic field produces the strong "magnetic field".12.38. 12.38.Mh, 26.60.+c,97.60.Jd Quark Matter, Magnetar, Color Ferromagnetism, Quantum Hall States Typeset using REVT E X 1

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“…Namely, unstable modes of gluons, which are present [13] under the color magnetic field, have been shown to be stabilized with their condensation, just as scalar fields in Higgs potentials. The condensation leads to a fractional quantum Hall state of the gluons [14,7] with a color charge density. This color charge density of the gluons is supplied by quarks.…”

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Color ferromagnetism of quark matter: A possible origin of a strong magnetic field in magnetars

Iwazaki

2005

Phys. Rev. D

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“…In [20,21], a new approach was proposed to achieve the stable vacuum state. There, the solution with It should be emphasized that the solution found in [20] is stable only with respect to (2+1)-dimensional perturbations. However, the true vacuum state should be stable with respect to (3+1)-dimensional perturbations as well, i.e., against non-uniform perturbations along the x 3 axis parallel to the chromomagnetic field direction.…”

Section: The Effective Dimensional Reduction In the Gluon Sectormentioning

confidence: 99%

“…In particular, The principal difficulty in finding a stable color ferrromagnetic state is that a local minimum of the action can not be obtained, since the corresponding field configuration proved to be spatially inhomogeneous. In order to circumvent this difficulty, the method earlier applied in analyzing the quantum Hall effect [19] was used in [20,21]. It was demonstrated that a spatially homogeneous state of the gluon field can be obtained by effectively reducing the dimensions of the problem from D = (3 + 1) to D = (2 + 1) and employing for gluons the technique used in [19,22] for the description of the quantum Hall effect in a (2 + 1)-dimensional Fermi system.…”

Section: Introductionmentioning

confidence: 99%

“…Unfortunately, the procedure of finding a nontrivial uniform vacuum state ϕ = 0 independent of x, as it was done in the case of the Higgs model, is not applicable here due to the presence of A µ (x) in the covariant derivatives D µ = ∂ µ +igA µ (x). In [20,21], a new approach was proposed to achieve the stable vacuum state. There, the solution with It should be emphasized that the solution found in [20] is stable only with respect to (2+1)-dimensional perturbations.…”

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Competition of color ferromagnetic and superconductive states in a quark-gluon system

Эберт

Zhukovsky

2005

Phys. Rev. D

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The possibility of color ferromagnetism in an SU (2) gauge field model is investigated. The conditions allowing a stable color ferromagnetic state of the quark system in the chromomagnetic field occupying small domains are considered. A phase transition between this state and the color superconducting states is considered. The effect of finite temperature is analyzed.PACS numbers: 11.10. Wx, 11.30.Qc, 12.20.Ds, 12.60.Cn IntroductionNonperturbative effects of non-abelian gauge theories take place in the infrared region.Among such nonperturbative effects are the existence of the QCD vacuum with gluon and quark condensates, chiral symmetry breaking, confinement and the hadronization process.They can only be studied by approximate methods and in the framework of various effective models. For instance, one of the possibilities to approximately describe the gluon condensate is to introduce background color fields of certain configurations (see, e.g., [1,2]).Another example of nonperturbative problems is the physics of light mesons that can be described by effective four-fermion models such as the Nambu-Jona-Lasinio (NJL) quark model, which was successfully used to implement the ideas of dynamical chiral symmetry breaking (DχSB) and bosonization (see e.g. [3], [4] and references therein; for a review of (2+1)-dimensional four-quark effective models see [5]).In the framework of four-fermion models, it was shown that a constant magnetic field [6] induces the dynamical chiral symmetry breaking (DχSB), as well as the fermion mass 2 generation, even under conditions when the interaction between fermions is weak. This phenomenon of magnetic catalysis was explained basing upon the idea of effective reduction of space dimensionality in the presence of a strong external magnetic field [7] (see also paper[8] and references therein). It was also demonstrated that a strong chromomagnetic field catalyzes DχSB [9]. As was shown in [10], this effect can be understood in the framework of the dimensional reduction mechanism as well, and it does not depend on the particular form of the constant chromomagnetic field configuration.One of the solutions of the Yang-Mills equations that can serve as a model for the gluon condensate is a constant chromomagnetic field. Its role was demonstrated in [11,12]. In these papers, the authors calculated the one-loop effective potential for a constant chromomagnetic field B and they demonstrated that it reaches its minimum at a nonvanishing value of B.However this simple analytical model of the gluon condensate with a uniform chromomagnetic field B = const (the so-called "colour ferromagnetic state") [11,12] suffered from an instability [13]. This problem later has been studied in a number of papers. In particular, The principal difficulty in finding a stable color ferrromagnetic state is that a local minimum of the action can not be obtained, since the corresponding field configuration proved to be spatially inhomogeneous. In order to circumvent this difficulty, the method earlier applied in analy...

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Color ferromagnetism of quark matter and quantum Hall states of gluons in SU(3) gauge theory

Iwazaki¹,

Morimatsu²,

Nishikawa³

et al. 2004

Physics Letters B

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We show a possibility that a color ferromagnetic state exists in SU(3) gauge theory of quark matter with two flavors. Although the state involves three types of unstable modes of gluons, all of these modes are stabilized by forming a quantum Hall state of one of the modes. We also show that at large chemical potential, a color superconducting state ( 2SC ) appears even in the ferromagnetic state. This is because Meissner effect by condensed anti-triplet quark pairs does not work on the magnetic field in the ferromagnetic state.

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Color ferromagnetism in quark matter

Cited by 14 publications

References 19 publications

Color ferromagnetism of quark matter: A possible origin of a strong magnetic field in magnetars

Color ferromagnetism of quark matter: A possible origin of a strong magnetic field in magnetars

Competition of color ferromagnetic and superconductive states in a quark-gluon system

Color ferromagnetism of quark matter and quantum Hall states of gluons in SU(3) gauge theory

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