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arXiv · 1204.0773

Higher Derivative Corrections to Non-Abelian Vortex Effective Theory

Minoru Eto·Toshiaki Fujimori·Muneto Nitta·Keisuke Ohashi·Norisuke Sakai
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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.

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Minoru Eto, Toshiaki Fujimori, Muneto Nitta, Keisuke Ohashi, Norisuke Sakai. 2012-04-03. Higher Derivative Corrections to Non-Abelian Vortex Effective Theory. https://doi.org/10.1143/ptp.128.67

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