Topological energy bounds in generalized Skyrme models

2014
journal article
article
26
cris.lastimport.scopus2024-04-07T16:31:48Z
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dc.abstract.enThe Skyrme model has a natural generalization amenable to a standard Hamiltonian treatment, consisting of the standard sigma model and the Skyrme terms, a potential, and a certain term sextic in first derivatives. Here we demonstrate that, in this theory, each pair of terms in the static energy functional which may support topological solitons according to the Derrick criterion (i.e., each pair of terms with opposite Derrick scaling) separately possesses a topological energy bound. As a consequence, there exists a four-parameter family of topological bounds for the full generalized Skyrme model. The optimal bounds, i.e., the optimal values of the parameters, depend both on the form of the potential and on the relative strength of the different terms. It also follows that various submodels of the generalized Skyrme model have one-parameter families of topological energy bounds. We also consider the case of topological bounds for the generalized Skyrme model on a compact base space as well as generalizations to higher dimensions.pl
dc.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiegopl
dc.contributor.authorAdam, Christophpl
dc.contributor.authorWereszczyński, Andrzej - 132581 pl
dc.date.accessioned2015-04-25T08:08:55Z
dc.date.available2015-04-25T08:08:55Z
dc.date.issued2014pl
dc.description.number6pl
dc.description.publication1pl
dc.description.volume89pl
dc.identifier.articleid065010pl
dc.identifier.doi10.1103/PhysRevD.89.065010pl
dc.identifier.eissn1550-2368pl
dc.identifier.issn1550-7998pl
dc.identifier.urihttp://ruj.uj.edu.pl/xmlui/handle/item/5712
dc.languageengpl
dc.language.containerengpl
dc.rightsDodaję tylko opis bibliograficzny*
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dc.subtypeArticlepl
dc.titleTopological energy bounds in generalized Skyrme modelspl
dc.title.journalPhysical Review. D, Particles, Fields, Gravitation, and Cosmologypl
dc.typeJournalArticlepl
dspace.entity.typePublication
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