Exact self-dual skyrmions.
Saved in:
| Title: | Exact self-dual skyrmions. |
|---|---|
| Authors: | Ferreira, L.A.1, Shnir, Ya.2,3,4 shnir@maths.tcd.ie |
| Source: | Physics Letters B. Sep2017, Vol. 772, p621-627. 7p. |
| Subjects: | Skyrmions, Strength of materials, Nuclear energy, Symmetry (Physics), Toroidal harmonics |
| Abstract: | We introduce a Skyrme type model with the target space being the sphere S 3 and with an action possessing, as usual, quadratic and quartic terms in field derivatives. The novel character of the model is that the strength of the couplings of those two terms are allowed to depend upon the space–time coordinates. The model should therefore be interpreted as an effective theory, such that those couplings correspond in fact to low energy expectation values of fields belonging to a more fundamental theory at high energies. The theory possesses a self-dual sector that saturates the Bogomolny bound leading to an energy depending linearly on the topological charge. The self-duality equations are conformally invariant in three space dimensions leading to a toroidal ansatz and exact self-dual Skyrmion solutions. Those solutions are labelled by two integers and, despite their toroidal character, the energy density is spherically symmetric when those integers are equal and oblate or prolate otherwise. [ABSTRACT FROM AUTHOR] |
| Copyright of Physics Letters B is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 125253282 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Exact self-dual skyrmions. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Ferreira%2C+L%2EA%2E%22">Ferreira, L.A.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Shnir%2C+Ya%2E%22">Shnir, Ya.</searchLink><relatesTo>2,3,4</relatesTo><i> shnir@maths.tcd.ie</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Physics+Letters+B%22">Physics Letters B</searchLink>. Sep2017, Vol. 772, p621-627. 7p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Skyrmions%22">Skyrmions</searchLink><br /><searchLink fieldCode="DE" term="%22Strength+of+materials%22">Strength of materials</searchLink><br /><searchLink fieldCode="DE" term="%22Nuclear+energy%22">Nuclear energy</searchLink><br /><searchLink fieldCode="DE" term="%22Symmetry+%28Physics%29%22">Symmetry (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Toroidal+harmonics%22">Toroidal harmonics</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We introduce a Skyrme type model with the target space being the sphere S 3 and with an action possessing, as usual, quadratic and quartic terms in field derivatives. The novel character of the model is that the strength of the couplings of those two terms are allowed to depend upon the space–time coordinates. The model should therefore be interpreted as an effective theory, such that those couplings correspond in fact to low energy expectation values of fields belonging to a more fundamental theory at high energies. The theory possesses a self-dual sector that saturates the Bogomolny bound leading to an energy depending linearly on the topological charge. The self-duality equations are conformally invariant in three space dimensions leading to a toroidal ansatz and exact self-dual Skyrmion solutions. Those solutions are labelled by two integers and, despite their toroidal character, the energy density is spherically symmetric when those integers are equal and oblate or prolate otherwise. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Physics Letters B is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=125253282 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.physletb.2017.07.040 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 7 StartPage: 621 Subjects: – SubjectFull: Skyrmions Type: general – SubjectFull: Strength of materials Type: general – SubjectFull: Nuclear energy Type: general – SubjectFull: Symmetry (Physics) Type: general – SubjectFull: Toroidal harmonics Type: general Titles: – TitleFull: Exact self-dual skyrmions. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Ferreira, L.A. – PersonEntity: Name: NameFull: Shnir, Ya. IsPartOfRelationships: – BibEntity: Dates: – D: 10 M: 09 Text: Sep2017 Type: published Y: 2017 Identifiers: – Type: issn-print Value: 03702693 Numbering: – Type: volume Value: 772 Titles: – TitleFull: Physics Letters B Type: main |
| ResultId | 1 |
