Anomalous Abelian solitons

Simple item page
dc.creatorSchmid, Matthias
dc.creatorShaposhnikov, Mikhail
dc.date2007-02-13
dc.date2007-06-24
dc.date.accessioned2026-07-07T10:38:12Z
dc.date.available2026-07-07T10:38:12Z
dc.descriptionThe chiral Abelian Higgs model contains an interesting class of solitons found by Rubakov and Tavkhelidze. These objects carry non-zero fermion number $N_F$ (or Chern-Simons number $N_{CS}$, what is the same because of the chiral anomaly) and are stable for sufficiently large $N_F$. In this paper we study the properties of these anomalous solitons. We find that their energy-versus-fermion-number ratio is given by $E\sim N_{CS}^{3/4}$ or $E\sim N_{CS}^{2/3}$ depending on the structure of the scalar potential. For the former case we demonstrate that there is a lower bound on the soliton energy, which reads $E\geq c N_{CS}^{3/4}$, where $c$ is some parameter expressed through the masses and coupling constants of the theory. We construct the anomalous solitons numerically accounting both for Higgs and gauge dynamics and show that they are not spherically symmetric. The thin wall approximation valid for macroscopic solutions with $N_{CS} \gg 1$ is discussed as well.
dc.description32 pages, 17 figures, REVTeX4; v2: appendix added, published version
dc.identifierhttps://arxiv.org/abs/hep-th/0702101
dc.identifierhttp://arxiv.org/abs/hep-th/0702101
dc.identifierNucl.Phys.B775:365-389,2007
dc.identifierdoi:10.1016/j.nuclphysb.2007.03.012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/180639
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.titleAnomalous Abelian solitons
dc.typetext

Files

Collections

arXiv