带宇宙常数的4D自旋泡沫中的亏角：(反)德西特性及其他
Deficit Angles in 4D Spinfoam with Cosmological Constant: (Anti) de Sitter-ness and More
AI总结：
本文研究了带宇宙常数的4维自旋泡沫模型在一般4维单纯复形上的临界行为，发现半经典时其振幅在零亏角处达峰值，从而根据宇宙常数符号呈现dS或AdS时空，并通过解析延拓至复配置产生非(A)dS时空。
摘要：
本文研究了带宇宙常数的4维自旋泡沫模型在一般4维单纯复形作为时空离散化时的临界行为。我们发现，在半经典区域，自旋泡沫振幅在实临界点处达到峰值，这些实临界点对应于4复形内部三角形所铰接的零亏角（模 $4π\mathbb{Z}/γ$）。由于该模型中的4单纯形具有常曲率，零亏角的离散几何根据边界条件固定的宇宙常数符号，表现为德西特（dS）时空或反德西特（AdS）时空。非(A)dS时空则通过对复配置进行解析延拓，从复临界点中产生。
英文摘要：
This paper investigates the critical behaviors of the 4-dimensional spinfoam model with cosmological constant for a general 4-dimensional simplicial complex as the discretization of spacetime. We find that, at the semi-classical regime, the spinfoam amplitude is peaked at the real critical points that correspond to zero deficit angles (modulo $4π\mathbb{Z}/γ$) hinged by internal triangles of the 4-complex. Since the 4-simplices from the model are of constant curvature, the discrete geometry with zero deficit angle manifests a de Sitter (dS) spacetime or an anti de Sitter (AdS) spacetime depending on the sign of the cosmological constant fixed by the boundary condition. The non-(A)dS spacetimes emerge from the complex critical points by an analytic continuation to complex configurations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
