English

Suppressing Curvature Fluctuations in Dynamical Triangulations

High Energy Physics - Lattice 2009-10-28 v1

Abstract

We study numerically the dynamical triangulation formulation of two-dimensional quantum gravity using a restricted class of triangulation, so-called minimal triangulations, in which only vertices of coordination number 5, 6, and 7 are allowed. A real-space RG analysis shows that for pure gravity (central charge c = 0) this restriction does not affect the critical behavior of the model. Furthermore, we show that the critical behavior of an Ising model coupled to minimal dynamical triangulations (c = 1/2) is still governed by the KPZ-exponents.

Keywords

Cite

@article{arxiv.hep-lat/9608076,
  title  = {Suppressing Curvature Fluctuations in Dynamical Triangulations},
  author = {M. J. Bowick and S. M. Catterall and G. Thorleifsson},
  journal= {arXiv preprint arXiv:hep-lat/9608076},
  year   = {2009}
}

Comments

Talk presented at LATTICE96(gravity), 3 pages, LaTeX, espcrc2.sty, 1 figure

R2 v1 2026-07-22T13:21:10.106Z