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.
Volume 396 -
The 38th International Symposium on Lattice Field Theory (LATTICE2021) -
Plenary presentation
Recent work on tessellations of hyperbolic geometries
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Pre-published on:
May 16, 2022
Published on:
July 08, 2022
Abstract
DOI: https://doi.org/10.22323/1.396.0016
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Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.