Correspondence between Skyrmions in 2+1 and 3+1 dimensions

Research output: Contribution to journalArticle

41 Citations (Scopus)

Abstract

A lump (2D Skyrmion) can be constructed as a sine-Gordon kink (1D Skyrmion) inside a domain wall in the massive O(3) sigma model. In this paper, we discuss relations between Skyrmions in 2+1 and 3+1 dimensions. We first construct a Bogomol'nyi-Prasad-Sommerfield 3D Skyrmion as a lump inside a non-Abelian domain wall in an O(4) sigma model with a potential term admitting two discrete vacua. Next, we construct a conventional 3D Skyrmion as a baby Skyrmion in a non-Abelian domain wall in the Skyrme model with a modified mass term admitting two discrete vacua. We also construct a spinning 3D Skyrmion as a Q lump in the non-Abelian domain wall.

Original languageEnglish
Article number025013
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume87
Issue number2
DOIs
Publication statusPublished - 2013 Jan 4

Fingerprint

domain wall
metal spinning

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Correspondence between Skyrmions in 2+1 and 3+1 dimensions. / Nitta, Muneto.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 87, No. 2, 025013, 04.01.2013.

Research output: Contribution to journalArticle

@article{135059fb9bce4ad39c9a147f32a70680,
title = "Correspondence between Skyrmions in 2+1 and 3+1 dimensions",
abstract = "A lump (2D Skyrmion) can be constructed as a sine-Gordon kink (1D Skyrmion) inside a domain wall in the massive O(3) sigma model. In this paper, we discuss relations between Skyrmions in 2+1 and 3+1 dimensions. We first construct a Bogomol'nyi-Prasad-Sommerfield 3D Skyrmion as a lump inside a non-Abelian domain wall in an O(4) sigma model with a potential term admitting two discrete vacua. Next, we construct a conventional 3D Skyrmion as a baby Skyrmion in a non-Abelian domain wall in the Skyrme model with a modified mass term admitting two discrete vacua. We also construct a spinning 3D Skyrmion as a Q lump in the non-Abelian domain wall.",
author = "Muneto Nitta",
year = "2013",
month = "1",
day = "4",
doi = "10.1103/PhysRevD.87.025013",
language = "English",
volume = "87",
journal = "Physical review D: Particles and fields",
issn = "1550-7998",
publisher = "American Institute of Physics",
number = "2",

}

TY - JOUR

T1 - Correspondence between Skyrmions in 2+1 and 3+1 dimensions

AU - Nitta, Muneto

PY - 2013/1/4

Y1 - 2013/1/4

N2 - A lump (2D Skyrmion) can be constructed as a sine-Gordon kink (1D Skyrmion) inside a domain wall in the massive O(3) sigma model. In this paper, we discuss relations between Skyrmions in 2+1 and 3+1 dimensions. We first construct a Bogomol'nyi-Prasad-Sommerfield 3D Skyrmion as a lump inside a non-Abelian domain wall in an O(4) sigma model with a potential term admitting two discrete vacua. Next, we construct a conventional 3D Skyrmion as a baby Skyrmion in a non-Abelian domain wall in the Skyrme model with a modified mass term admitting two discrete vacua. We also construct a spinning 3D Skyrmion as a Q lump in the non-Abelian domain wall.

AB - A lump (2D Skyrmion) can be constructed as a sine-Gordon kink (1D Skyrmion) inside a domain wall in the massive O(3) sigma model. In this paper, we discuss relations between Skyrmions in 2+1 and 3+1 dimensions. We first construct a Bogomol'nyi-Prasad-Sommerfield 3D Skyrmion as a lump inside a non-Abelian domain wall in an O(4) sigma model with a potential term admitting two discrete vacua. Next, we construct a conventional 3D Skyrmion as a baby Skyrmion in a non-Abelian domain wall in the Skyrme model with a modified mass term admitting two discrete vacua. We also construct a spinning 3D Skyrmion as a Q lump in the non-Abelian domain wall.

UR - http://www.scopus.com/inward/record.url?scp=84872255863&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84872255863&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.87.025013

DO - 10.1103/PhysRevD.87.025013

M3 - Article

AN - SCOPUS:84872255863

VL - 87

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 2

M1 - 025013

ER -