Tensor renormalization group study of 3D principal chiral model
High Energy Physics - Lattice
2023-12-20 v1
Abstract
We study the three-dimensional principal chiral model (PCM) using different tensor renormalization group methods based on the triad and anisotropic decomposition of the tensor. The tensor network representation is formulated based on the character expansion of the Boltzmann weight. We compare the average action obtained using these two tensor network algorithms and confirm that the resulting critical coupling and exponent are comparable with the recent estimations from the Monte Carlo methods.
Cite
@article{arxiv.2312.11649,
title = {Tensor renormalization group study of 3D principal chiral model},
author = {Shinichiro Akiyama and Raghav G. Jha and Judah Unmuth-Yockey},
journal= {arXiv preprint arXiv:2312.11649},
year = {2023}
}
Comments
eight pages, six figures