论文标题
$κ$-Poincaré和量规不变性的单个额外尺寸
Single Extra Dimension from $κ$-Poincaré and Gauge Invariance
论文作者
论文摘要
我们表明，$κ$-POINCARé不变仪表理论在$κ$ -Minkowski空间上具有物理可接受的交换（低能量）限制，必须为5-D。操作的规格不变性要求将$κ$ -Minkowski空间的尺寸固定到$ d = 5 $，并选择了可以实现构造的独特扭曲差分微积分。我们表征了与5-D非交通量规不变性相关的BRST对称性，该定义是nilpotent操作的定义，该操作用于构造量规固定的动作。我们还考虑假设（压实）扁平尺寸的标准方案，为此，5D变形参数$κ$可以将其视为批量5-D Planck质量。我们研究所得4-D有效理论的物理特性。对撞机实验的最新数据需要$κ\ gtrsim \ mathcal {o}（10^{13}）\ \ text {gev} $。使用伽马射线爆发光子的Vacuo内色散关系的标准测试的使用增加了该下部的限制，该限制由4个数量级。根据非共同因果结构的可能新特征，讨论了这种结合的鲁棒性。
We show that $κ$-Poincaré invariant gauge theories on $κ$-Minkowski space with physically acceptable commutative (low energy) limit must be 5-d. The gauge invariance requirement of the action fixes the dimension of the $κ$-Minkowski space to $d=5$ and selects the unique twisted differential calculus with which the construction can be achieved. We characterize a BRST symmetry related to the 5-d noncommutative gauge invariance though the definition of a nilpotent operation, which is used to construct a gauge-fixed action. We also consider standard scenarios assuming (compactification of) flat extra dimension, for which the 5-d deformation parameter $κ$ can be viewed as the bulk 5-d Planck mass. We study physical properties of the resulting 4-d effective theories. Recent data from collider experiments require $κ\gtrsim\mathcal{O}(10^{13})\ \text{GeV}$. The use of standard test of in-vacuo dispersion relations of Gamma Ray Burst photons increases this lower bound by 4 orders of magnitude. The robustness of this bound is discussed in the light of possible new features of noncommutative causal structures.
