从相对论对称性的量子形变到修正的运动学与动力学
高能物理 - 理论
2011-01-10 v1
摘要
我们简要综述了非对易时空在量子形变动力学理论中的应用：经典与量子力学，以及经典与量子场论。我们阐述了Hopf代数及其实现（非对易模）作为描述量子形变对称性（量子李群和量子李代数）的重要数学工具。我们详细考虑了非对易时空几何中最常研究的例子：规范形变和-形变情形。最后，我们简要描述了通过引入非对易时空坐标对爱因斯坦引力所做的修正。
引用
@article{arxiv.1012.3629,
title = {From Quantum Deformations of Relativistic Symmetries to Modified Kinematics and Dynamics},
author = {Jerzy Lukierski},
journal= {arXiv preprint arXiv:1012.3629},
year = {2011}
}
备注
29 pages, 1 fig.eps. Invited talk at 50-th Cracow School of Theoretical Physics "Particle Physics at the Dawn of the LHC'', Zakopane, Poland (June 9-19, 2010). To be published in Acta Physica Polonica~B. This paper is an extended version of the text presented at First Galileo-Xu Quang-qi Meeting (Shanghai, October 2009) and published as arXiv:1003.4185 [hep-th]