Volume 396 - The 38th International Symposium on Lattice Field Theory (LATTICE2021) - Plenary presentation
Recent work on tessellations of hyperbolic geometries
J. Unmuth-Yockey*, M. Asaduzzaman, S. Catterall, J. Hubisz and R. Nelson
*: corresponding author
Full text: pdf
Pre-published on: May 16, 2022
Published on: July 08, 2022
Abstract
We review the construction and definition of lattice curvature, and present progress on calculations of the two-point correlation function of scalar field theory on hyperbolic lattices. We find the boundary-to-boundary correlation function
possesses power-law dependence on the boundary distance in both the free, and interacting
theories in both two and three dimensions. Moreover, the power-law dependence follows the continuum Klebanov-Witten formula closely.
DOI: https://doi.org/10.22323/1.396.0016
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