Global dynamics of a Yang-Mills field on an asymptotically hyperbolic space

2017
journal article
article
7
cris.lastimport.wos2024-04-10T03:24:12Z
dc.abstract.enWe consider a spherically symmetric (purely magnetic) Yang-Mills field propagating on an ultrastatic spacetime with two asymptotically hyperbolic regions connected by a throat of radius . Static solutions in this model are shown to exhibit an interesting bifurcation pattern in the parameter . We relate this pattern to the Morse index of the static solution with maximal energy. Using a hyperboloidal approach to the initial value problem, we describe the relaxation to the ground state solution for generic initial data and unstable static solutions for initial data of codimension one, two, and three.pl
dc.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiegopl
dc.contributor.authorBizoń, Piotr - 127350 pl
dc.contributor.authorMach, Patryk - 159226 pl
dc.date.accessioned2017-02-28T09:43:11Z
dc.date.available2017-02-28T09:43:11Z
dc.date.issued2017pl
dc.description.additionalErratum: Transactions of the American Mathematical Society, vol. 369 (2017), 3013-3013.pl
dc.description.number3pl
dc.description.physical2029-2048pl
dc.description.volume369pl
dc.identifier.doi10.1090/tran/6807pl
dc.identifier.eissn1088-6850pl
dc.identifier.issn0002-9947pl
dc.identifier.urihttp://ruj.uj.edu.pl/xmlui/handle/item/38955
dc.languageengpl
dc.language.containerengpl
dc.rightsDodaję tylko opis bibliograficzny*
dc.rights.licenceBez licencji otwartego dostępu
dc.rights.uri*
dc.subtypeArticlepl
dc.titleGlobal dynamics of a Yang-Mills field on an asymptotically hyperbolic spacepl
dc.title.journalTransactions of the American Mathematical Societypl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-10T03:24:12Z
dc.abstract.enpl
We consider a spherically symmetric (purely magnetic) Yang-Mills field propagating on an ultrastatic spacetime with two asymptotically hyperbolic regions connected by a throat of radius . Static solutions in this model are shown to exhibit an interesting bifurcation pattern in the parameter . We relate this pattern to the Morse index of the static solution with maximal energy. Using a hyperboloidal approach to the initial value problem, we describe the relaxation to the ground state solution for generic initial data and unstable static solutions for initial data of codimension one, two, and three.
dc.affiliationpl
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
dc.contributor.authorpl
Bizoń, Piotr - 127350
dc.contributor.authorpl
Mach, Patryk - 159226
dc.date.accessioned
2017-02-28T09:43:11Z
dc.date.available
2017-02-28T09:43:11Z
dc.date.issuedpl
2017
dc.description.additionalpl
Erratum: Transactions of the American Mathematical Society, vol. 369 (2017), 3013-3013.
dc.description.numberpl
3
dc.description.physicalpl
2029-2048
dc.description.volumepl
369
dc.identifier.doipl
10.1090/tran/6807
dc.identifier.eissnpl
1088-6850
dc.identifier.issnpl
0002-9947
dc.identifier.uri
http://ruj.uj.edu.pl/xmlui/handle/item/38955
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Dodaję tylko opis bibliograficzny
dc.rights.licence
Bez licencji otwartego dostępu
dc.rights.uri*
dc.subtypepl
Article
dc.titlepl
Global dynamics of a Yang-Mills field on an asymptotically hyperbolic space
dc.title.journalpl
Transactions of the American Mathematical Society
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations

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