Chiral spiral induced by a strong magnetic field

Abuki, Hiroaki

doi:10.1051/epjconf/201612900036

Cited by 9 publications

(10 citation statements)

References 27 publications

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“…Interestingly enough, as the strength of magnetic field gets larger, the inhomogeneous chiral condensate in the skyrmion phase tends to be drastically localized, while in the half-skyrmion phase the inhomogeneity configuration is almost intact. (Similar observations, regarding the deformation of inhomogeneities for the chiral condensate by magnetic effects, have been made in different models [18][19][20][21]. )…”

Section: Introductionsupporting

confidence: 78%

Magnetic field effect on nuclear matter from a Skyrmion crystal model

Kawaguchi

Matsuzaki

2018

Phys. Rev. C

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We explore magnetic field effects on the nuclear matter based on the skrymion crystal approach for the first time. It is found that the magnetic effect plays the role of a catalyzer for the topological phase transition (topological deformation for the skyrmion crystal configuration from the skrymion phase to half-skyrmion phase). Furthermore, we observe that in the presence of the magnetic field, the inhomogeneous chiral condensate persists both in the skyrmion and half-skyrmion phases. Explicitly, as the strength of magnetic field gets larger, the inhomogeneous chiral condensate in the skyrmion phase tends to be drastically localized, while in the half-skyrmion phase the inhomogeneity configuration is hardly affected. It also turns out that a large magnetic effect in a low density region distorts the baryon shape to an elliptic form but the crystal structure is intact. However, in a high density region, the crystal structure is strongly effected by the strong magnetic field. A possible correlation between the chiral inhomogeneity and the deformation of the skrymion configuration is also addressed. The results obtained in this paper might be realized in the deep interior of compact stars.

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Section: Introductionsupporting

confidence: 78%

Magnetic field effect on nuclear matter from a Skyrmion crystal model

Kawaguchi

Matsuzaki

2018

Phys. Rev. C

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“…On the other hand, the effect of magnetic field on QCD has also been the subject of intensive studies. Phenomenologically, exploring possible forms of strongly interacting matter under the magnetic field is relevant to the physics of magnetars; the compact stellar objects known to have a strong magnetic field, B ∼ 10 10 T.We here report our recent study of the effect of strong magnetic fields on the inhomogeneous chiral phase structure [2]. Several studies are already devoted on how the magnetic field affects the critical points and phase structures [3][4][5][6].…”

mentioning

confidence: 98%

“…We here report our recent study of the effect of strong magnetic fields on the inhomogeneous chiral phase structure [2]. Several studies are already devoted on how the magnetic field affects the critical points and phase structures [3][4][5][6].…”

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confidence: 98%

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Ginzburg–Landau Phase Diagram under Magnetic Field

Abuki

2018

Proceedings of the Workshop on Quarks and Compact Stars 2017 (QCS2017)

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We study the modification of the chiral phase structure of QCD due to an external magnetic field within a generalized Ginzburg-Landau framework. In the chiral limit, the effect is found to be so drastic that it brings a "continent" of chiral spiral in the phase diagram, by which the chiral tricritical point is totally washed out. The current quark mass protects the chiral critical point from a weak magnetic field. However, the critical point is eventually to be covered by the chiral spiral phase as the magnetic field grows. KEYWORDS: QCD phase diagram, Inhomogeneous phase, Chiral symmetry, Magnetic fieldIntroduction, Methods, and Results. There has recently been a growing interest on possible crystal structures in the chiral condensate in QCD at finite density [1]. On the other hand, the effect of magnetic field on QCD has also been the subject of intensive studies. Phenomenologically, exploring possible forms of strongly interacting matter under the magnetic field is relevant to the physics of magnetars; the compact stellar objects known to have a strong magnetic field, B ∼ 10 10 T.We here report our recent study of the effect of strong magnetic fields on the inhomogeneous chiral phase structure [2]. Several studies are already devoted on how the magnetic field affects the critical points and phase structures [3][4][5][6]. The effect of current quark mass on a particular type of inhomogeneous chiral condensate is also studied in [7].We focus on the neighborhood of the critical point. We first show that in this case it is possible to derive systematically the generalized Ginzburg-Landau (gGL) action without specifying the spatial form of the chiral condensate. We derive this functional up to the first nontrivial order in the current quark mass h and the magnetic field B. It turns out that these two ingredients bring competing effects on inhomogeneous phases. In particular, the condensate accompanied by the complex phase, the chiral spiral, is found to be favored by the magnetic field [6], and accordingly the phase diagram is to be drastically changed once the effect of magnetic field prevails.The gGL action density at the first nontrivial order in the external magnetic field B and the current quark mass m q can be derived in the same way as described in [8,9]. Up to the sixth order in the scalar and pseudoscalar condensates, σ and π a (a = 1, 2, 3), as well as in ∇ ≡ ∂ x , the result is [2]

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“…Now, consider a high-dense matter system under a magnetic field, inside of which charged pions form the pion-vector current J π µ = i(∂ µ π + π − − π + ∂ µ π − ), coupled to the electromagnetic field, and then might also couple to the electromagnetic U (1) A anomaly as above. Of importance here is to note that as discussed in [41][42][43][44], in a high-dense medium with a strong magnetic field, the pions can locally form condensates, (so-called inhomogeneous chiral condensates), so that the pion-vector current J π µ can also have a locally nontrivial distribution in the medium. Suppose the medium to be so high-dense like that, in such a way that the dense matter can be highly compressed to be almost static.…”

Section: Introductionmentioning

confidence: 99%

Chiral-imbalance density wave in baryonic matters

Kawaguchi¹,

Matsuzaki²

2020

J. Phys. G: Nucl. Part. Phys.

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We propose a new chirality-imbalance phenomenon arising in baryonic/high dense matters under a magnetic field. A locally chiral-imbalanced (parity-odd) domain can be created due to the electromagnetically induced U (1)A anomaly in high-dense matters. The proposed local-chiral imbalance generically possesses a close relationship to a spacial distribution of an inhomogeneous chiral (pion)vector current coupled to the magnetic field. To demonstrate such a nontrivial correlation, we take the skyrmion crystal approach to model baryonic/high dense matters. Remarkably enough, we find the chirality-imbalance distribution takes a wave form in a high density region (dobbed "chiralimbalance density wave"), when the inhomogeneous chiral condensate develops to form a chiral density wave. This implies the emergence of a nontrivial density wave for the explicitly broken U (1)A current simultaneously with the chiral density wave for the spontaneously broken chiralflavor current. We further find that the topological phase transition in the skyrmion crystal model (between skyrmion and half-skyrmion phases) undergoes the deformation of the chiral-imbalance density wave in shape and periodicity. The emergence of this chiral-imbalance density wave could give a crucial contribution to studies on the chiral phase transition, as well as the nuclear matter structure, in compact stars under a magnetic field.

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Chiral spiral induced by a strong magnetic field

Cited by 9 publications

References 27 publications

Magnetic field effect on nuclear matter from a Skyrmion crystal model

Magnetic field effect on nuclear matter from a Skyrmion crystal model

Ginzburg–Landau Phase Diagram under Magnetic Field

Chiral-imbalance density wave in baryonic matters

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