量子引力的新 2+1 相干自旋泡沫顶点

IF 3.6 3区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS
J D Simão
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引用次数: 0

摘要

我们为三维洛伦兹引力提出了一个明确的自旋泡沫振幅,同时允许类空间和类时间边界。该模型基于两个主要要求:它在结构上应类似于著名的欧几里得类似模型;几何性应在半经典体系中得到恢复。为此,我们为类似空间的边界边缘引入了新的相干态,这些相干态是从单元表示的连续序列中推导出来的。我们证明,振幅中的相关对象可以用群的定义表示来写,就像在欧几里得情况下一样。我们推导出了大自旋时半经典振幅的表达式,表明它与洛伦兹雷格作用有关。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A new 2+1 coherent spin-foam vertex for quantum gravity
We propose an explicit spin-foam amplitude for Lorentzian gravity in three dimensions, allowing for both space- and time-like boundaries. The model is based on two main requirements: that it should be structurally similar to its well-known Euclidean analog, and that geometricity should be recovered in the semiclassical regime. To this end we introduce new coherent states for space-like boundary edges, derived from the continuous series of unitary representations. We show that the relevant objects in the amplitude can be written in terms of the defining representation of the group, just as so happens in the Euclidean case. We derive an expression for the semiclassical amplitude at large spins, showing it relates to the Lorentzian Regge action.
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来源期刊
Classical and Quantum Gravity
Classical and Quantum Gravity 物理-天文与天体物理
CiteScore
7.00
自引率
8.60%
发文量
301
审稿时长
2-4 weeks
期刊介绍: Classical and Quantum Gravity is an established journal for physicists, mathematicians and cosmologists in the fields of gravitation and the theory of spacetime. The journal is now the acknowledged world leader in classical relativity and all areas of quantum gravity.
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