标题： Snyder 动量空间在相对局域性中 显示英文标题

标题： Snyder Momentum Space in Relative Locality

摘要： 标准的量子引力现象学方法通常在色散关系或动量叠加规则中显式地破坏洛伦兹不变性。 我们研究在3+1维中是否可能拥有一个非局部的变形，该变形完全保持洛伦兹不变性，正如在2+1D量子引力中的情况一样。 我们对此问题给出了肯定的回答，并首次展示了如何构建一个均匀弯曲的动量空间，在放松局域性的同时保持四维及更高维度中洛伦兹群的完整作用。 我们研究了这种相对局域性变形的性质，并表明该空间会导致与辛格空间相关的非对易性。 显示英文摘要

摘要： The standard approaches of phenomenology of Quantum Gravity have usually explicitly violated Lorentz invariance, either in the dispersion relation or in the addition rule for momenta. We investigate whether it is possible in 3+1 dimensions to have a non local deformation that preserves fully Lorentz invariance, as it is the case in 2+1D Quantum Gravity. We answer positively to this question and show for the first time how to construct a homogeneously curved momentum space preserving the full action of the Lorentz group in dimension 4 and higher, despite relaxing locality. We study the property of this relative locality deformation and show that this space leads to a noncommutativity related to Snyder spacetime.