### Abstract

We give a systematic method to calculate higher derivative corrections to low-energy effective theories of solitons, which are in general nonlinear 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×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.

Original language | English |
---|---|

Pages (from-to) | 67-103 |

Number of pages | 37 |

Journal | Progress of Theoretical Physics |

Volume | 128 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2012 Jul 1 |

### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

## Fingerprint Dive into the research topics of 'Higher derivative corrections to non-abelian vortex effective theory'. Together they form a unique fingerprint.

## Cite this

*Progress of Theoretical Physics*,

*128*(1), 67-103. https://doi.org/10.1143/PTP.128.67