Existence of Dyons in the Coupled Georgi-Glashow-Skyrme Model

Research output: Contribution to journalArticle

Abstract

We prove the existence of a continuous family of finite-energy particle-like solutions in the coupled Georgi-Glashow-Skyrme model carrying both electric and magnetic charges, known as dyons. Due to the presence of electricity and the Minkowski spacetime signature, we need to solve a variational problem with an indefinite action functional. Our results show that, while the magnetic charge is uniquely determined by the topological monopole number, the electric charge of a solution can be arbitrarily prescribed in an open interval.

Original languageEnglish (US)
Pages (from-to)329-349
Number of pages21
JournalAnnales Henri Poincare
Volume12
Issue number2
DOIs
StatePublished - Mar 2011

Fingerprint

electric charge
Charge
electricity
particle energy
monopoles
Open interval
signatures
Monopole
intervals
Electricity
Variational Problem
Signature
Space-time
Model
Energy

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Nuclear and High Energy Physics
  • Mathematical Physics

Cite this

Existence of Dyons in the Coupled Georgi-Glashow-Skyrme Model. / Lin, Fanghua; Yang, Yisong.

In: Annales Henri Poincare, Vol. 12, No. 2, 03.2011, p. 329-349.

Research output: Contribution to journalArticle

@article{03cf018ccda840afbb74d2655b2c8ccd,
title = "Existence of Dyons in the Coupled Georgi-Glashow-Skyrme Model",
abstract = "We prove the existence of a continuous family of finite-energy particle-like solutions in the coupled Georgi-Glashow-Skyrme model carrying both electric and magnetic charges, known as dyons. Due to the presence of electricity and the Minkowski spacetime signature, we need to solve a variational problem with an indefinite action functional. Our results show that, while the magnetic charge is uniquely determined by the topological monopole number, the electric charge of a solution can be arbitrarily prescribed in an open interval.",
author = "Fanghua Lin and Yisong Yang",
year = "2011",
month = "3",
doi = "10.1007/s00023-011-0083-6",
language = "English (US)",
volume = "12",
pages = "329--349",
journal = "Annales Henri Poincare",
issn = "1424-0637",
publisher = "Birkhauser Verlag Basel",
number = "2",

}

TY - JOUR

T1 - Existence of Dyons in the Coupled Georgi-Glashow-Skyrme Model

AU - Lin, Fanghua

AU - Yang, Yisong

PY - 2011/3

Y1 - 2011/3

N2 - We prove the existence of a continuous family of finite-energy particle-like solutions in the coupled Georgi-Glashow-Skyrme model carrying both electric and magnetic charges, known as dyons. Due to the presence of electricity and the Minkowski spacetime signature, we need to solve a variational problem with an indefinite action functional. Our results show that, while the magnetic charge is uniquely determined by the topological monopole number, the electric charge of a solution can be arbitrarily prescribed in an open interval.

AB - We prove the existence of a continuous family of finite-energy particle-like solutions in the coupled Georgi-Glashow-Skyrme model carrying both electric and magnetic charges, known as dyons. Due to the presence of electricity and the Minkowski spacetime signature, we need to solve a variational problem with an indefinite action functional. Our results show that, while the magnetic charge is uniquely determined by the topological monopole number, the electric charge of a solution can be arbitrarily prescribed in an open interval.

UR - http://www.scopus.com/inward/record.url?scp=79952282559&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79952282559&partnerID=8YFLogxK

U2 - 10.1007/s00023-011-0083-6

DO - 10.1007/s00023-011-0083-6

M3 - Article

AN - SCOPUS:79952282559

VL - 12

SP - 329

EP - 349

JO - Annales Henri Poincare

JF - Annales Henri Poincare

SN - 1424-0637

IS - 2

ER -