Fermionic domain-wall Skyrmions of QCD in a magnetic field

Fuente: arXiv
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Autores principales: Copinger, Patrick, Eto, Minoru, Nitta, Muneto, Qiu, Zebin
Formato: Preprint
Publicado: 2025
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author Copinger, Patrick
Eto, Minoru
Nitta, Muneto
Qiu, Zebin
author_facet Copinger, Patrick
Eto, Minoru
Nitta, Muneto
Qiu, Zebin
contents The ground state of low-energy QCD matter in strong magnetic fields is either a chiral soliton lattice (CSL), a periodic array of neutral pion domain walls (chiral solitons) perpendicular to the magnetic field, or domain-wall Skyrmion phase, in which Skyrmions are induced on top of the CSL. Previously found domain-wall Skyrmions are bosons with the baryon number two. In this paper, we show that the minimum domain-wall Skyrmions are fermions with baryon number one; a bosonic domain-wall Skyrmion can be separated without energy cost into two fermionic domain-wall Skyrmions attached on the opposite sides of a chiral soliton. The phase boundary between the CSL and domain-wall Skyrmion phases is unchanged. In the chiral limit, the CSL reduces to a linearly dependent neutral pion on the direction of the magnetic field, while fermionic domain-wall Skyrmions sit in an equal distance of half a period.
format Preprint
id arxiv_https___arxiv_org_abs_2512_22023
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Fermionic domain-wall Skyrmions of QCD in a magnetic field
Copinger, Patrick
Eto, Minoru
Nitta, Muneto
Qiu, Zebin
High Energy Physics - Phenomenology
High Energy Physics - Theory
Nuclear Theory
The ground state of low-energy QCD matter in strong magnetic fields is either a chiral soliton lattice (CSL), a periodic array of neutral pion domain walls (chiral solitons) perpendicular to the magnetic field, or domain-wall Skyrmion phase, in which Skyrmions are induced on top of the CSL. Previously found domain-wall Skyrmions are bosons with the baryon number two. In this paper, we show that the minimum domain-wall Skyrmions are fermions with baryon number one; a bosonic domain-wall Skyrmion can be separated without energy cost into two fermionic domain-wall Skyrmions attached on the opposite sides of a chiral soliton. The phase boundary between the CSL and domain-wall Skyrmion phases is unchanged. In the chiral limit, the CSL reduces to a linearly dependent neutral pion on the direction of the magnetic field, while fermionic domain-wall Skyrmions sit in an equal distance of half a period.
title Fermionic domain-wall Skyrmions of QCD in a magnetic field
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
Nuclear Theory
url https://arxiv.org/abs/2512.22023