Higher Derivative Corrections to Non-Abelian Vortex Effective Theory
High Energy Physics - Theory
2012-08-07 v1 High Energy Physics - Phenomenology
Abstract
We give a systematic method to calculate higher derivative corrections to low-energy effective theories of solitons, which are in general non-linear sigma models on the moduli spaces of the solitons. By applying it to the effective theory of a single BPS non-Abelian vortex in U(N) gauge theory with N fundamental Higgs fields, we obtain four derivative corrections to the effective sigma model on the moduli space C \times CP^{N-1}. We compare them with the Nambu-Goto action and the Faddeev-Skyrme model. We also show that Yang-Mills instantons/monopoles trapped inside a non-Abelian vortex membrane/string are not modified in the presence of higher derivative terms.
Cite
@article{arxiv.1204.0773,
title = {Higher Derivative Corrections to Non-Abelian Vortex Effective Theory},
author = {Minoru Eto and Toshiaki Fujimori and Muneto Nitta and Keisuke Ohashi and Norisuke Sakai},
journal= {arXiv preprint arXiv:1204.0773},
year = {2012}
}
Comments
45 pages, 3 figures