Soliton creation with a twist

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We consider soliton creation when there are "twist" degrees of freedom present in the model in addition to those that make up the soliton. Specifically, we consider a deformed O(3) sigma model in 1+1 dimensions, which reduces to the sine-Gordon model in the zero twist sector. We study the scattering of two or more breather solutions as a function of twist, and find soliton creation for a range of parameters. We speculate on the application of these ideas, in particular, on the possible role of magnetic helicity, to the production of magnetic monopoles, and the violation of baryon number in nuclear scattering experiments.

Original languageEnglish (US)
Article number125003
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume84
Issue number12
DOIs
StatePublished - Dec 2 2011

Fingerprint

solitary waves
nuclear scattering
magnetic monopoles
baryons
sectors
degrees of freedom
scattering

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Soliton creation with a twist. / Vachaspati, Tanmay.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 84, No. 12, 125003, 02.12.2011.

Research output: Contribution to journalArticle

@article{5279e8e27e914d57aa2925b05a809233,
title = "Soliton creation with a twist",
abstract = "We consider soliton creation when there are {"}twist{"} degrees of freedom present in the model in addition to those that make up the soliton. Specifically, we consider a deformed O(3) sigma model in 1+1 dimensions, which reduces to the sine-Gordon model in the zero twist sector. We study the scattering of two or more breather solutions as a function of twist, and find soliton creation for a range of parameters. We speculate on the application of these ideas, in particular, on the possible role of magnetic helicity, to the production of magnetic monopoles, and the violation of baryon number in nuclear scattering experiments.",
author = "Tanmay Vachaspati",
year = "2011",
month = "12",
day = "2",
doi = "10.1103/PhysRevD.84.125003",
language = "English (US)",
volume = "84",
journal = "Physical review D: Particles and fields",
issn = "1550-7998",
publisher = "American Institute of Physics Publising LLC",
number = "12",

}

TY - JOUR

T1 - Soliton creation with a twist

AU - Vachaspati, Tanmay

PY - 2011/12/2

Y1 - 2011/12/2

N2 - We consider soliton creation when there are "twist" degrees of freedom present in the model in addition to those that make up the soliton. Specifically, we consider a deformed O(3) sigma model in 1+1 dimensions, which reduces to the sine-Gordon model in the zero twist sector. We study the scattering of two or more breather solutions as a function of twist, and find soliton creation for a range of parameters. We speculate on the application of these ideas, in particular, on the possible role of magnetic helicity, to the production of magnetic monopoles, and the violation of baryon number in nuclear scattering experiments.

AB - We consider soliton creation when there are "twist" degrees of freedom present in the model in addition to those that make up the soliton. Specifically, we consider a deformed O(3) sigma model in 1+1 dimensions, which reduces to the sine-Gordon model in the zero twist sector. We study the scattering of two or more breather solutions as a function of twist, and find soliton creation for a range of parameters. We speculate on the application of these ideas, in particular, on the possible role of magnetic helicity, to the production of magnetic monopoles, and the violation of baryon number in nuclear scattering experiments.

UR - http://www.scopus.com/inward/record.url?scp=84855306495&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84855306495&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.84.125003

DO - 10.1103/PhysRevD.84.125003

M3 - Article

VL - 84

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 12

M1 - 125003

ER -