流体力学中的非相对论性共形对称性
流体动力学
2010-02-11 v3 高能物理 - 理论
数学物理
math.MP
摘要
自由不可压缩流体的对称性跨越伽利略群，并附加了空间和时间的独立膨胀。当流体可压缩时，对称性扩展为薛定谔群，其中还额外包含了薛定谔膨胀。虽然不可压缩流体动力学可以从共形不变相对论理论的适当非相对论极限推导出来，但最近通过收缩相对论共形群得到的共形伽利略群并非一种对称性。这可以通过非相对论极限的微妙之处来解释。
引用
@article{arxiv.0906.3594,
title = {Non-relativistic conformal symmetries in fluid mechanics},
author = {P. -M. Zhang and P. A. Horvathy},
journal= {arXiv preprint arXiv:0906.3594},
year = {2010}
}
备注
Substantially revised and extended version. A new Section is added on deriving the non-relativistic fluid mechanics from relativistic conformal field theory. The breaking of Conformal Galilei symmetry (obtained by contraction) is explained by the subtle behavior of the non-relativistic limit. 18 pages no figures. Some more references added