arXiv:2005.12726·v2·High Energy Physics — Lattice
Holography on tessellations of hyperbolic space
Muhammad Asaduzzaman🇺🇸 · Simon Catterall🇺🇸 · Jay Hubisz🇺🇸 · Roice Nelson🇺🇸 · Judah Unmuth-Yockey🇺🇸
Abstract
We compute boundary correlation functions for scalar fields on tessellations of two- and three-dimensional hyperbolic geometries. We present evidence that the continuum relation between the scalar bulk mass and the scaling dimension associated with boundary-to-boundary correlation functions survives the truncation of approximating the continuum hyperbolic space with a lattice.
Comments: 9 pages, 14 figures