Holographic QCD Matter: Chiral Soliton Lattices in Strong Magnetic Field

Fuente: arXiv
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Auteurs principaux: Amano, Markus A. G., Eto, Minoru, Nitta, Muneto, Sasaki, Shin
Format: Preprint
Publié: 2025
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author Amano, Markus A. G.
Eto, Minoru
Nitta, Muneto
Sasaki, Shin
author_facet Amano, Markus A. G.
Eto, Minoru
Nitta, Muneto
Sasaki, Shin
contents We investigate the chiral soliton lattice (CSL) in the framework of holographic QCD in magnetic field. Under appropriate boundary conditions for the gauge field and the quark mass deformation, we demonstrate that the ground state in the gravitational dual of QCD is given by the CSL in the background magnetic field and the baryon number density. In the presence of the background magnetic field, we show that the CSL is interpreted as a uniformly distributed D4-branes in the holographic setup, where the chiral soliton is identified with a non-self-dual instanton vortex or a center vortex in the five dimensional bulk gauge theory. While the baryon numbers are given to chiral solitons as well as Skyrmions due to the different terms in the Wess-Zumino-Witten (WZW) term in the chiral perturbation theory, these baryon numbers with different origins are unified in terms of the instanton charge density in five dimensions. With bulk analysis of the WZW term, we find that the pion decay constant becomes dependent on the magnetic field. For the massless pion case, we obtain an analytical form that is in qualitative agreement with lattice QCD results for strong magnetic fields.
format Preprint
id arxiv_https___arxiv_org_abs_2507_16897
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Holographic QCD Matter: Chiral Soliton Lattices in Strong Magnetic Field
Amano, Markus A. G.
Eto, Minoru
Nitta, Muneto
Sasaki, Shin
High Energy Physics - Theory
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
We investigate the chiral soliton lattice (CSL) in the framework of holographic QCD in magnetic field. Under appropriate boundary conditions for the gauge field and the quark mass deformation, we demonstrate that the ground state in the gravitational dual of QCD is given by the CSL in the background magnetic field and the baryon number density. In the presence of the background magnetic field, we show that the CSL is interpreted as a uniformly distributed D4-branes in the holographic setup, where the chiral soliton is identified with a non-self-dual instanton vortex or a center vortex in the five dimensional bulk gauge theory. While the baryon numbers are given to chiral solitons as well as Skyrmions due to the different terms in the Wess-Zumino-Witten (WZW) term in the chiral perturbation theory, these baryon numbers with different origins are unified in terms of the instanton charge density in five dimensions. With bulk analysis of the WZW term, we find that the pion decay constant becomes dependent on the magnetic field. For the massless pion case, we obtain an analytical form that is in qualitative agreement with lattice QCD results for strong magnetic fields.
title Holographic QCD Matter: Chiral Soliton Lattices in Strong Magnetic Field
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2507.16897