TY - JOUR
T1 - Recent work on tessellations of hyperbolic geometries
AU - Asaduzzaman, Muhammad
AU - Catterall, Simon
AU - Hubisz, Jay
AU - Nelson, Roice
AU - Unmuth-Yockey, Judah
N1 - Publisher Copyright:
© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0)
PY - 2022/7/8
Y1 - 2022/7/8
N2 - 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.
AB - 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.
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M3 - Conference Article
AN - SCOPUS:85134428998
SN - 1824-8039
VL - 396
JO - Proceedings of Science
JF - Proceedings of Science
M1 - 016
T2 - 38th International Symposium on Lattice Field Theory, LATTICE 2021
Y2 - 26 July 2021 through 30 July 2021
ER -