Relation between Classical and Pseudo-classical Spinning Particle
高能物理 - 理论
2008-02-03 v2
摘要
The spin degrees of freedom for the relativistic particle are described by either Poincar\'{e} group variables (classically) or Grassmann variables (pseudo-classically). The relationship between those two descriptions are given. In doing that, appropriate constraints are constructed to put into the lagrangian. Especially a natural relation of Poincar\'{e} group variables and Grassmann variables is obtained. Hopf fibration relating the spin momentum to the group is just the right transformation of the spin momentum under Poincar\'{e} group. And with the relation just mentioned, pseudoclassical lagrangian is derived naturally from the classical one.
引用
@article{arxiv.hep-th/9304064,
title = {Relation between Classical and Pseudo-classical Spinning Particle},
author = {Jin-Ho Cho and Seungjoon Hyun and Jae-Kwan Kim},
journal= {arXiv preprint arXiv:hep-th/9304064},
year = {2008}
}
备注
10pages; minor typo corrections