QUANTUM CANONICAL TENSOR MODEL AND AN EXACT WAVE FUNCTION
QUANTUM CANONICAL TENSOR MODEL AND AN EXACT WAVE FUNCTION
复制标题
量子正则张量模型和精确波函数
DOI：
10.1142/s0217751x1350111x
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发表时间：
2013
影响因子：
1.6
通讯作者：
N. Sasakura
中科院分区：
文献类型：
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作者：
N. Sasakura
Tensor models in various forms are being studied as models of quantum gravity. Among them the canonical tensor model has a canonical pair of rank-three tensors as dynamical variables, and is a pure constraint system with first-class constraints. The Poisson algebra of the first-class constraints has structure functions, and provides an algebraically consistent way of discretizing the Dirac first-class constraint algebra for general relativity. This paper successfully formulates the Wheeler–DeWitt scheme of quantization of the canonical tensor model; the ordering of operators in the constraints is determined without ambiguity by imposing Hermiticity and covariance on the constraints, and the commutation algebra of constraints takes essentially the same form as the classical Poisson algebra, i.e. is first-class. Thus one could consistently obtain, at least locally in the configuration space, wave functions of "universe" by solving the partial differential equations representing the constraints, i.e. the Wheeler–DeWitt equations for the quantum canonical tensor model. The unique wave function for the simplest nontrivial case is exactly and globally obtained. Although this case is far from being realistic, the wave function has a few physically interesting features; it shows that locality is favored, and that there exists a locus of configurations with features of beginning of universe.
具有三索引变量的动态模糊空间的不变方法
DOI：
--
发表时间：
2006
期刊：
Modern Physics Letters A 21
影响因子：
--
作者：
Yuya;Sasai;Naoki;Sasakura;Naoki Sasakura
通讯作者：
Naoki Sasakura
庞加莱不变交换非结合时空标量场论的一环幺正性
DOI：
--
发表时间：
2006
期刊：
Journal of High Energy Physics 0609
影响因子：
--
作者：
Yuya Sasai;Naoki Sasakura
通讯作者：
Naoki Sasakura