The weak-coupling limit of 3D simplicial quantum gravity. (English) Zbl 1273.83047
Summary: We investigate the weak-coupling limit, \(\kappa\to\infty\), of 3D simplicial gravity using Monte Carlo simulations and a Strong Coupling Expansion. With a suitable modification of the measure we observe a transition from a branched polymer to a crinkled phase. However, the intrinsic geometry of the latter appears similar to that of non-generic branched polymer, probable excluding the existence of a sensible continuum limit in this phase.
MSC:
| 83C27 | Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory |
| 83C80 | Analogues of general relativity in lower dimensions |
| 83C45 | Quantization of the gravitational field |
References:
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