Are Vortex Numbers Preserved?
数学物理
2008-11-26 v2 高能物理 - 理论
math.MP
摘要
We study noncommutative vortex solutions that minimize the action functional of the Abelian Higgs model in 2-dimensional noncommutative Euclidean space. We first consider vortex solutions which are deformed from solutions defined on commutative Euclidean space to the noncommutative one. We construct solutions whose vortex numbers are unchanged under the noncommutative deformation. Another class of noncommutative vortex solutions via a Fock space representation is also studied.
引用
@article{arxiv.math-ph/0612041,
title = {Are Vortex Numbers Preserved?},
author = {Yoshiaki Maeda and Akifumi Sako},
journal= {arXiv preprint arXiv:math-ph/0612041},
year = {2008}
}
备注
Typos are corrected, some references are added, 20pages, no figure