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Domain-wall Skyrmion phase of QCD in magnetic field: Gauge field dynamics

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arxiv 2409.08841 v1 pith:Q7XESBZB submitted 2024-09-13 hep-ph cond-mat.mes-hallnucl-th

classification hep-phcond-mat.mes-hallnucl-th
keywords fieldapproximationdomain-walldynamicsgaugemagneticphaseaccount
verification ladder T0 review T1 audit T2 compute T3 formal
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The ground state of QCD in sufficiently strong magnetic field at finite baryon density is an inhomogeneous state consisting of an array of solitons, called the chiral soliton lattice (CSL). It is, however, replaced in a region with higher density and/or magnetic field by the so-called domain-wall Skyrmion(DWSk) phase where Skyrmions are created on top of the CSL. This was previously proposed within the Bogomol'nyi-Prasad-Sommerfield (BPS) approximation neglecting a gauge field dynamics and taking into account its effect by a flux quantization condition. In this paper, by taking into account dynamics of the gauge field, we show that the phase boundary between the CSL and DWSk phases beyond the BPS approximation is identical to the one obtained in the BPS approximation. We also find that domain-wall Skyrmions are electrically charged with the charge one as a result of the chiral anomaly.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Baryonic vortices in rotating nuclear matter

    hep-ph 2026-03 unverdicted novelty 7.0 of 10

    Previously discarded global pion vortices become finite-energy and energetically competitive in rotating nuclear matter because causality bounds the system size.

  2. Dislocations and crystallization dynamics of chiral soliton lattices

    hep-th 2025-06 conditional novelty 6.0 of 10

    A modified axion model with a B-dependent topological coupling shows numerically that chiral soliton lattices form dynamically through transient edge and screw dislocations, including a stable DNA-like double helix.

  3. Revisiting the Wess-Zumino-Witten Term in Nuclear and Quark Matter under Magnetic Fields and Rotation

    hep-th 2026-07 accept novelty 5.0 of 10

    Anomalous WZW terms for Nf=2,3 dense QCD yield B·∇ϕ and Ω·∇ϕ couplings of π0, η, η' that stabilize chiral soliton lattices under magnetic fields and rotation.

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