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

T. L. Boyadjiev   ; E. E. Donets   ; D. A. Georgieva   ; E. A. Hayryan   ; O. I. Streltsova

Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 5, pp. 921-934

Résumé

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.

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