Formation of Chiral Soliton Lattice

Abstract

The Chiral Soliton Lattice (CSL) is a lattice structure composed of domain walls aligned in parallel at equal intervals, which is energetically stable in the presence of a background magnetic field and a finite (baryon) chemical potential due to the topological term originated from the chiral anomaly. We study its formation from the vacuum state, with describing the CSL as a layer of domain-wall disks surrounded by the vortex or string loop, based on the Nambu-Goto-type effective theory. We show that the domain wall nucleates via quantum tunneling when the magnetic field is strong enough. We evaluate its nucleation rate and determine the critical magnetic field strength with which the nucleation rate is no longer exponentially suppressed. We apply this analysis to the neutral pion in the two-flavor QCD as well as the axion-like particles (ALPs) with a finite (baryon) chemical potential under an external magnetic field. In the former case, even though the CSL state is more energetically stable than the vacuum state and the nucleation rate becomes larger for sufficiently strong magnetic field, it cannot be large enough so that the nucleation of the domain walls is not exponentially suppressed and promoted, without suffering from the tachyonic instability of the charged pion fluctuations. In the latter case, we confirm that the effective interaction of the ALPs generically includes the topological term required for the CSL state to be energetically favored. We show that the ALP CSL formation is promoted if the magnetic field strength and the chemical potential of the system is slightly larger than the scale of the axion decay constant.

arXiv comment21 pages, 5 figures

References in corpus (46)

• The Chiral Magnetic Effect
• Axion Cosmology
• String Axiverse
• Axions In String Theory
• Cosmic strings
• Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications
• Hydrodynamics with Triangle Anomalies
• The Swampland: Introduction and Review
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• The type IIB string axiverse and its low-energy phenomenology
• Large-Volume Flux Compactifications: Moduli Spectrum and D3/D7 Soft Supersymmetry Breaking
• "Strongly interacting matter in magnetic fields": an overview
• Gravitational Anomaly and Transport
• Anomalous Axion Interactions and Topological Currents in Dense Matter
• The QCD Axion and Moduli Stabilisation
• Quantum Anomalies in Dense Matter
• Notes on Anomaly Induced Transport
• Quark condensate in a magnetic field
• An M Theory Solution to the Strong CP Problem and Constraints on the Axiverse
• Axial anomaly and magnetism of nuclear and quark matter
• On the Baryon, Lepton-Flavour and Right-Handed Electron Asymmetries of the Universe
• The Quark and Gluon Condensates and Low-Energy QCD Theorems in a Magnetic Field
• Chiral Soliton Lattice and Charged Pion Condensation in Strong Magnetic Fields
• Anomalous effects of dense matter under rotation
• Ferromagnetic neutron stars: axial anomaly, dense neutron matter, and pionic wall
• Wash-In Leptogenesis
• Anomalous electrodynamics of neutral pion matter in strong magnetic fields
• Note on moduli stabilization, supersymmetry breaking and axiverse
• Spectator Effects during Leptogenesis in the Strong Washout Regime
• Order and Disorder in the Magnetisation of the Chiral Crystal CrNb${}_3$S${}_6$
• Topological term, QCD anomaly, and the eta' chiral soliton lattice in rotating baryonic matter
• Chiral anomaly induces superconducting baryon crystal
• Phases of rotating baryonic matter: non-Abelian chiral soliton lattices, antiferro-isospin chains, and ferri/ferromagnetic magnetization
• Charged and superconducting vortices in dense quark matter
• Axion electrodynamics and nonrelativistic photons in nuclear and quark matter
• Anomaly-Induced Inhomogeneous Phase in Quark Matter without the Sign Problem
• Chiral soliton lattice phase in warm QCD
• Quantum nucleation of topological solitons
• Chiral soliton lattice in QCD-like theories
• Note on a solution to domain wall problem with the Lazarides-Shafi mechanism in axion dark matter models
• Chiral soliton lattice effect on baryonic matter from skyrmion crystal model
• Competition of chiral soliton lattice and Abrikosov vortex lattice in QCD with isospin chemical potential
• Superconducting K strings in high density QCD
• Vacuum decay in the Lorentzian path integral
• Schwinger effect and false vacuum decay as quantum-mechanical tunneling of a relativistic particle
• Anomaly inflow on QCD axial domain-walls and vortices

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