T. L. Boyadjiev, E. E. Donets, D. A. Georgieva, E. A. Hayryan, O. I. Streltsova, “Unstable even-parity eigenmodes of the regular static <nobr>$\mathrm{SU}(2)$</nobr> Yang–Mills-dilaton solutions”, Zh. Vychisl. Mat. Mat. Fiz., 2005, Volume 45, Number 5,Pages <nobr>921

Unstable even-parity eigenmodes of the regular static $\mathrm{SU}(2)$ Yang–Mills-dilaton solutions

T. L. Boyadjiev^a, E. E. Donets^a, D. A. Georgieva^b, E. A. Hayryan^a, O. I. Streltsova^a

^a Joint Institute for Nuclear Research, 141980 Dubna, Russia
^b Sofia University, James Bourchier Blvd. 5, Sofia 1164, Bulgaria

Abstract: Unstable even-parity eigenmodes of regular static solutions to the coupled system of $\mathrm{SU}(2)$ Yang–Mills-dilaton equations in the $3+1$ Minkowski space–time are obtained. The corresponding matrix Sturm–Liouville problem is solved numerically by applying a continuous analogue of Newton's method. This technique is also used to solve a boundary value problem and is described in detail in this paper.

Key words: Yang–Mills–dilaton equations, regular solutions, matrix Sturm–Liouville problem, continuous analog of Newton's method, method of collocation.

UDC: 519.6:517.958:530.145

Received: 17.11.2004

Language: English