On the quantum geometry of multi-critical CDT
On the quantum geometry of multi-critical CDT
复制标题
多临界CDT的量子几何
DOI：
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
S. Zohren
中科院分区：
文献类型：
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作者：
Max R. Atkin;S. Zohren
我们讨论了最近引入的多临界CDT模型在更高多临界点上的扩展。在纯CDT的情况下，连续体极限可以在作用水平上取，由此产生的连续体表面模型再次用矩阵模型来描述。计算了任意多临界点的解，这是一个简单的量子几何观测值，可以从矩阵模型中得到。我们超越了矩阵模型，通过使用剥离过程确定传播子，该过程用于提取有效量子哈密顿量和分形维数，与Ambjørn等人的早期结果一致。在此基础上，引入了多临界CDT的弦场理论形式，并证明了Dyson-Schwinger方程与矩阵模型的环方程相匹配。最后，我们讨论了如何正式地获得拓扑和和与随机量子化的关系。
A bstractWe discuss extensions of a recently introduced model of multi-critical CDT to higher multi-critical points. As in the case of pure CDT the continuum limit can be taken on the level of the action and the resulting continuum surface model is again described by a matrix model. The resolvent, a simple observable of the quantum geometry which is accessible from the matrix model is calculated for arbitrary multi-critical points. We go beyond the matrix model by determining the propagator using the peeling procedure which is used to extract the effective quantum Hamiltonian and the fractal dimension in agreement with earlier results by Ambjørn et al. With this at hand a string field theory formalism for multi-critical CDT is introduced and it is shown that the Dyson-Schwinger equations match the loop equations of the matrix model. We conclude by commenting on how to formally obtain the sum over topologies and a relation to stochastic quantisation.
CDT 与二聚体样物质耦合的分析
影响因子：
4.4
作者：
Atkin M
通讯作者：
Atkin M