Details
| Original language | English |
|---|---|
| Pages (from-to) | 303-307 |
| Number of pages | 5 |
| Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
| Volume | 727 |
| Issue number | 1-3 |
| Publication status | Published - 25 Nov 2013 |
Abstract
The noncommutative baby Skyrme model is a Moyal deformation of the two-dimensional sigma model plus a Skyrme term, with a group-valued or Grassmannian target. Exact abelian solitonic solutions have been identified analytically in this model, with a singular commutative limit. Inside any given Grassmannian, we establish a BPS bound for the energy functional, which is saturated by these baby Skyrmions. This asserts their stability for unit charge, as we also test in second-order perturbation theory.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 727, No. 1-3, 25.11.2013, p. 303-307.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Exact BPS bound for noncommutative baby Skyrmions
AU - Domrin, Andrei
AU - Lechtenfeld, Olaf
AU - Linares, Román
AU - Maceda, Marco
N1 - Funding Information: We are thankful for hospitality by UAM–Iztapalapa (O.L.) and Leibniz Universität (R.L. and M.M.). Useful discussions with Mohab Abou Zeid and Reinhard F. Werner are gratefully acknowledged. This work is partially supported by CONACyT grant 166041F3 , DFG–CONACyT Collaboration grant B330/285/11 LE 838/11-1 and DFG–RFFI Collaboration grant LE 838/12-1 . In addition, A.D. was supported by the Russian Foundation for Basic Research under the grants 11-01-00495-a , 13-01-00622-a and 13-01-12417-ofi-m . Copyright: Copyright 2013 Elsevier B.V., All rights reserved.
PY - 2013/11/25
Y1 - 2013/11/25
N2 - The noncommutative baby Skyrme model is a Moyal deformation of the two-dimensional sigma model plus a Skyrme term, with a group-valued or Grassmannian target. Exact abelian solitonic solutions have been identified analytically in this model, with a singular commutative limit. Inside any given Grassmannian, we establish a BPS bound for the energy functional, which is saturated by these baby Skyrmions. This asserts their stability for unit charge, as we also test in second-order perturbation theory.
AB - The noncommutative baby Skyrme model is a Moyal deformation of the two-dimensional sigma model plus a Skyrme term, with a group-valued or Grassmannian target. Exact abelian solitonic solutions have been identified analytically in this model, with a singular commutative limit. Inside any given Grassmannian, we establish a BPS bound for the energy functional, which is saturated by these baby Skyrmions. This asserts their stability for unit charge, as we also test in second-order perturbation theory.
UR - http://www.scopus.com/inward/record.url?scp=84887402471&partnerID=8YFLogxK
U2 - 10.1016/j.physletb.2013.10.023
DO - 10.1016/j.physletb.2013.10.023
M3 - Article
AN - SCOPUS:84887402471
VL - 727
SP - 303
EP - 307
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
IS - 1-3
ER -