Noncommutative baby Skyrmions

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  • Aristotle University of Thessaloniki (A.U.Th.)
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OriginalspracheEnglisch
Seiten (von - bis)508-511
Seitenumfang4
FachzeitschriftPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Jahrgang678
Ausgabenummer5
PublikationsstatusVeröffentlicht - 3 Aug. 2009

Abstract

We subject the baby Skyrme model to a Moyal deformation, for unitary or Grassmannian target spaces and without a potential term. In the Abelian case, the radial BPS configurations of the ordinary noncommutative sigma model also solve the baby Skyrme equation of motion. This gives a class of exact analytic noncommutative baby Skyrmions, which have a singular commutative limit but are stable against scaling due to the noncommutativity. We compute their energies, investigate their stability and determine the asymptotic two-Skyrmion interaction.

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Noncommutative baby Skyrmions. / Ioannidou, Theodora; Lechtenfeld, Olaf.
in: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Jahrgang 678, Nr. 5, 03.08.2009, S. 508-511.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

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note = "Funding Information: O.L. is grateful for hospitality extended to him by the Mathematics Division of the Department of Mathematics, Physics and Computational Sciences at Aristotle University. He is partially supported by DFG grant Le-838/9. Copyright: Copyright 2009 Elsevier B.V., All rights reserved.",
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T1 - Noncommutative baby Skyrmions

AU - Ioannidou, Theodora

AU - Lechtenfeld, Olaf

N1 - Funding Information: O.L. is grateful for hospitality extended to him by the Mathematics Division of the Department of Mathematics, Physics and Computational Sciences at Aristotle University. He is partially supported by DFG grant Le-838/9. Copyright: Copyright 2009 Elsevier B.V., All rights reserved.

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N2 - We subject the baby Skyrme model to a Moyal deformation, for unitary or Grassmannian target spaces and without a potential term. In the Abelian case, the radial BPS configurations of the ordinary noncommutative sigma model also solve the baby Skyrme equation of motion. This gives a class of exact analytic noncommutative baby Skyrmions, which have a singular commutative limit but are stable against scaling due to the noncommutativity. We compute their energies, investigate their stability and determine the asymptotic two-Skyrmion interaction.

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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

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