正则非对易时空的扭曲霍普夫对称性

The Twisted Hopf-Symmetries of Canonical Noncommutative Spacetimes

通过研究与观察者独立的正则非对易关系,及其扭曲霍普夫代数对称性,发现变换参数与时空坐标存在非平凡的对易子是必要的,这些对易子形式表明所有的对称变换必须包含一个平移变换部分。在前面研究的基础上把无质量旋量场作为一个模型,通过洛特分析,计算在威尔映射不同排序约定下的守恒荷,并最终得出结论:其守恒荷与威尔映射和星乘积的选择无关。

The twisted Hopf-algebra symmetry of observer-independent canonical noncommutativity was studied. It is found necessary to introduce nontrivial commutators between transformation parameters and spacetime coordinates, and that the form of these commutators implies that all symmetry transformations must include a translation component. A mass less spinor field was put up as a model in front foundation, through the Noether analysis of the symmetries, calculated conservation the charges; the result for the conserved charges is reassuringly independent of the choice of weyl map and star product.