CDT弦场论中所有拓扑的求和
Summing over all Topologies in CDT String Field Theory
摘要:
通过明确地允许拓扑作为时间的函数而改变,通过因果动力学三角形定义的二维量子引力产生了一个新的连续弦场论。在一个矩阵模型的制定,我们表明-而值得注意的是-相关的总和在所有属可以进行封闭的形式,导致非微扰定义的CDT弦场论。我们还得到了显式公式的n-圈关联函数。我们的建设表现出有趣的相似之处,与以前的纯欧几里德治疗。
英文摘要:
By explicitly allowing for topology to change as a function of time, two-dimensional quantum gravity defined through causal dynamical triangulations gives rise to a new continuum string field theory. Within a matrix-model formulation we show that -- rather remarkably -- the associated sum over all genera can be performed in closed form, leading to a nonperturbative definition of CDT string field theory. We also obtain explicit formulas for the n-loop correlation functions. Our construction exhibits interesting parallels with previous, purely Euclidean treatments.
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