5-Dimensional Spacetime with q-Deformed Extra Dimension
5-Dimensional Spacetime with q-Deformed Extra Dimension
复制标题
具有 q 变形附加维度的 5 维时空
DOI：
10.1143/ptp.109.103
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
H. Toyoda
中科院分区：
文献类型：
--
作者：
S. Naka;H. Toyoda
本文讨论了在具有q变形额外维的Randall-Sundrum型5维时空中获得粒子非平凡质量结构的尝试。在这个时空中，五维空间没有边界，但会产生一个弹性势，阻止在第五个方向上的自由运动。然后，引入q变形，使得在四维分量和第五分量之间的时空坐标中出现非对易性。由于这种q变形，嵌入该时空的粒子传播子自然获得了紫外截止效应，而不会破坏四维时空中的洛伦兹协方差。
An attempt to obtain the non-trivial mass structure of particles in a Randall-Sundrum type of 5-dimensional spacetime with a q-deformed extra dimension is discussed. In this spacetime, the five-dimensional space has no boundary, but there arises an elastic potential preventing free motion in the fifth direction. The q-deformation is, then, introduced in such a manner that a non-commutativity arises in the spacetime coordinates between the 4-dimensional components and the fifth component. As a result of this q-deformation, the propagators of particles embedded in this spacetime naturally acquire an ultraviolet-cutoff effect without spoiling the Lorentz covariance in the 4-dimensional spacetime.