Elementary moves and ergodicity in D-dimensional simplicial quantum gravity
Aug, 199114 pages
Published in:
- Nucl.Phys.B 378 (1992) 367-380
- Published: 1992
Report number:
- NBI-HE-91-33
View in:
Citations per year
Abstract: (Elsevier)
We define d + 1 types of topology-preserving, elementary, simplicial transformations in d dimensions and show that they are equivalent to the simple moves defined by Alexander for manifolds in d ⩽ 4 dimensions. (Only if we make an assumption involving ( d − 2)-dimensional spheres can this result be extended to d > 4 dimensions.) Thus our result implies that these “( k, l ) moves” (with k + l = d + 2), presently being used in numerical simulations of two- and three-dimensional simplicial quantum gravity, can be used to ergodically span all “combinatorially equivalent” manifolds in d ⩾ 4 dimensions.- quantum gravity: simplex
- transformation: space-time
- any-dimensional
- lattice field theory
References(0)
Figures(0)
Loading ...