DOE OSTI · 1877650
Recent work on tessellations of hyperbolic geometries
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 functionpossesses power-law dependence on the boundary distance in both the free, and interactingtheories in both two and three dimensions. Moreover, the power-law dependence follows the continuum Klebanov-Witten formula closely.
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Asaduzzaman, Muhammad, Catterall, Simon, Hubisz, Jay, Nelson, Roice, Unmuth-Yockey, Judah. 2022-05-16. Recent work on tessellations of hyperbolic geometries. https://doi.org/10.22323/1.396.0016
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