Hyperbolic Lattice for Scalar Field Theory in AdS$_3$
High Energy Physics - Theory
2022-06-15 v1 High Energy Physics - Lattice
Quantum Physics
Abstract
We construct a tessellation of AdS, by extending the equilateral triangulation of AdS on the Poincar\'{e} disk based on the triangle group, suitable for studying strongly coupled phenomena and the AdS/CFT correspondence. A Hamiltonian form conducive to the study of dynamics and quantum computation is presented. We show agreement between lattice calculations and analytic results for the free scalar theory and find evidence of a second order critical transition for theory using Monte Carlo simulations. Applications of this AdS Hamiltonian formulation to real time evolution and quantum computing are discussed.
Cite
@article{arxiv.2202.03464,
title = {Hyperbolic Lattice for Scalar Field Theory in AdS$_3$},
author = {Richard C. Brower and Cameron V. Cogburn and Evan Owen},
journal= {arXiv preprint arXiv:2202.03464},
year = {2022}
}
Comments
20 pages, 5 figures