论文标题
旋转泡沫动力学和平整性问题的数值分析
Numerical analysis of spin foam dynamics and the flatness problem
论文作者
论文摘要
在本文中，我们应用了最近提出的数值算法，以在自旋泡沫振幅中查找固定相位点。我们研究了具有三个顶点的自旋泡沫振幅和4D BF理论中的散装面。我们将边界相干状态固定在三个可能的三角形上，一个在散装面上零赤字角，两个具有非零的缺陷角度。我们以数值计算振幅，在所有三种情况下，我们都在低自旋处找到一个固定相位点。我们评论该结果与自旋泡沫理论中平坦问题的主张形成鲜明对比。我们指出这些论点可能会引起误解，我们提出了进一步的计算，以确定回答这个问题。
In this paper, we apply a recently proposed numerical algorithm for finding stationary phase points in spin foam amplitudes. We study a spin foam amplitude with three vertices and a bulk face in 4d BF theory. We fix the boundary coherent states to three possible triangulations, one with zero deficit angle on the bulk face and two with non-zero deficit angle. We compute the amplitude numerically and we find a stationary phase point already at low spins in all the three cases. We comment on how this result contrasts with the claims of flatness problem in spin foam theories. We point out where these arguments may be misleading and we propose further computations to definitively answer the question.
