Summing over all Topologies in CDT String Field Theory
arXiv:0905.2108 · doi:10.1016/j.physletb.2009.06.031
Abstract
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.
15 pages
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- Creating 3, 4, 6 and 10-dimensional spacetime from W3 symmetry
- Localization of particles in quantum field theory
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- CDT and Horava-Lifshitz QG in Two Dimensions
- Branched polymers with loops coupled to the critical Ising model
- Causal random geometry from stochastic quantization