Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-02-13
Nucl.Phys.B775:365-389,2007
Physics
High Energy Physics
High Energy Physics - Theory
32 pages, 17 figures, REVTeX4; v2: appendix added, published version
Scientific paper
10.1016/j.nuclphysb.2007.03.012
The 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.
Schmid Matthias
Shaposhnikov Mikhail
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