Absence of barriers in dynamical triangulation

Details Absence of barriers in dynamical triangulation Absence of barriers in dynamical triangulation

1994-11-29

arxiv.org/abs/hep-lat/9411070v1

Phys.Lett. B348 (1995) 35-38

Physics

High Energy Physics

High Energy Physics - Lattice

8 pages, LaTeX2e source with postscript result

Scientific paper

10.1016/0370-2693(95)00122-2

Due to the unrecognizability of certain manifolds there must exist pairs of triangulations of these manifolds that can only be reached from each other by going through an intermediate state that is very large. This might reduce the reliability of dynamical triangulation, because there will be states that will not be reached in practice. We investigate this problem numerically for the manifold $S^5$, which is known to be unrecognizable, but see no sign of these unreachable states.

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