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Causal dynamic triangulation (abbreviated as "CDT") invented by Renate Loll and Jan Ambjorn is an approach to quantum gravity that like loop quantum gravity is background independent. The upcoming loop 2005 conference hosted by many loop quantum gravity theorists will feature CDT in much greater depth as it appears to have a good semiclassical description.

It is a modification of quantum Regge calculus where spacetime is discretized by approximating it by a piecewise linear manifold in a process called triangulation. In this process, a d-dimensional spacetime is considered as formed by space slices that are labeled by a discrete time variable t. Each space slice is aproximated by a simplicial manifold composed by regular (d-1)-dimensional simplices and the connection between these slices is made by a piecewise linear manifold of d-simplices.

Papers: http://arxiv.org/hep-th/0105267 http://arxiv.org/hep-th/0505154

References

• Causal dynamic triangulation on arxiv.org

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