On resonances and bound states of the 't Hooft-Polyakov monopole

Details On resonances and bound states of the 't Hooft-Polyakov monopole On resonances and bound states of the 't Hooft-Polyakov monopole

2010-12-15

arxiv.org/abs/1012.3438v1

Phys.Rev.D83:065004,2011

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, 7 figures

Scientific paper

10.1103/PhysRevD.83.065004

We present a systematic approach to the linearised Yang-Mills-Higgs equations in the background of a 't Hooft-Polyakov monopole and use it to unify and extend previous studies of their spectral properties. We show that a quaternionic formulation allows for a compact and efficient treatment of the linearised equations in the BPS limit of vanishing Higgs self-coupling, and use it to study both scattering and bound states. We focus on the sector of vanishing generalised angular momentum and analyse it numerically, putting zero-energy bound states, Coulomb bound states and infinitely many Feshbach resonances into a coherent picture. We also consider the linearised Yang-Mills-Higgs equations with non-vanishing Higgs self-coupling and confirm the occurrence of Feshbach resonances in this situation.

Affiliated with

Also associated with

No associations

Rating

On resonances and bound states of the 't Hooft-Polyakov monopole does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On resonances and bound states of the 't Hooft-Polyakov monopole, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On resonances and bound states of the 't Hooft-Polyakov monopole will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-14624