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

Bibliographic description

punktacja MNiSW [2017 A]: 40

title:	Global dynamics of a Yang-Mills field on an asymptotically hyperbolic space
author:	Bizoń Piotr , Mach Patryk
journal title:	Transactions of the American Mathematical Society
volume:	369
issue:	3
date of publication :	2017
pages:	2029-2048
ISSN:	0002-9947
eISSN:	1088-6850
DOI:	10.1090/tran/6807
notes:	Erratum: Transactions of the American Mathematical Society, vol. 369 (2017), 3013-3013.
language:	English
journal language:	English
abstract in English:	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.
affiliation:	Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
type:	journal article
subtype:	academic paper

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