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arXiv 1802.09439gr-qccond-mat.str-elhep-th
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缺陷激发凝聚的宇宙学常数

Cosmological constant from condensation of defect excitations

Bianca Dittrich

摘要:

许多量子引力方法的一个关键挑战是构建描述大尺度光滑几何的状态。在这里,我们定义了一个家庭的$(2+1)$ -维量子引力状态所产生的曲率激发集中在点像缺陷和描述均匀弯曲的几何形状在大尺度上。因此,这些状态代表了具有不同宇宙学常数值的三维引力真空。对于不同的宇宙学常数,它们可以用在同一个希尔伯特空间上量子化的无异常的第一类约束代数来描述。类似的结构在四维中也是可能的,在这种情况下,曲率集中在弦状缺陷上,状态是Crane-Yetter模型的真空。我们将简述量子宇宙学和凝聚态的应用。

英文摘要:

A key challenge for many quantum gravity approaches is to construct states that describe smooth geometries on large scales. Here we define a family of $(2+1)$-dimensional quantum gravity states which arise from curvature excitations concentrated at point like defects and describe homogeneously curved geometries on large scales. These states represent therefore vacua for three-dimensional gravity with different values of the cosmological constant. They can be described by an anomaly-free first class constraint algebra quantized on one and the same Hilbert space for different values of the cosmological constant. A similar construction is possible in four dimensions, in this case the curvature is concentrated along string-like defects and the states are vacua of the Crane-Yetter model. We will sketch applications for quantum cosmology and condensed matter.

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。

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