Chiral soliton lattice at next-to-leading order

Abstract

We compute the free energy of the chiral soliton lattice state in quantum chromodynamics (QCD) at nonzero baryon chemical potential, temperature and external magnetic field at the next-to-leading order of chiral perturbation theory. This extends previous work where only a special limit of the chiral soliton lattice, the domain wall, was considered. Our results therefore serve as a consistency check of the previously established phase diagram of QCD at moderate magnetic fields and temperature and sub-nuclear baryon chemical potentials. Moreover, we use the result for the free energy to determine the magnetization carried by the domain wall and the chiral soliton lattice, both at the next-to-leading order.

42 pages, 5 figures; published version

References in corpus (12)

• Quantum Anomalies in Dense Matter
• Axial anomaly and magnetism of nuclear and quark matter
• Functional Determinants in Quantum Field Theory
• Novel Lifshitz point for chiral transition in the magnetic field
• Anomalous electrodynamics of neutral pion matter in strong magnetic fields
• Phases of rotating baryonic matter: non-Abelian chiral soliton lattices, antiferro-isospin chains, and ferri/ferromagnetic magnetization
• Chiral anomaly induces superconducting baryon crystal
• Anomaly-Induced Inhomogeneous Phase in Quark Matter without the Sign Problem
• Chiral soliton lattice phase in warm QCD
• Quantum nucleation of topological solitons
• Formation of Chiral Soliton Lattice
• Competition of chiral soliton lattice and Abrikosov vortex lattice in QCD with isospin chemical potential

Cited by in corpus (7)

• Phase diagram of QCD matter with magnetic field: domain-wall Skyrmion chain in chiral soliton lattice
• Spin Statistics and Surgeries of Topological Solitons in QCD Matter in Magnetic Field
• Solitonic ground state in supersymmetric theory in background
• Holographic QCD Matter: Chiral Soliton Lattices in Strong Magnetic Field
• Novel transition dynamics of topological solitons
• Fermionic domain-wall Skyrmions of QCD in a magnetic field
• Constraining $A\to ZH$ with $H\to t\bar{t}$ in the Low-Mass Region