Improved coarse-graining methods on two dimensional tensor networks including fermions
High Energy Physics - Lattice
2023-01-12 v1
Abstract
We show how to apply renormalization group algorithms incorporating entanglement filtering methods and a loop optimization to a tensor network which includes Grassmann variables which represent fermions in an underlying lattice field theory. As a numerical test a variety of quantities are calculated for two dimensional Wilson--Majorana fermions and for the two flavor Gross--Neveu model. The improved algorithms show much better accuracy for quantities such as the free energy and the determination of Fisher's zeros.
Cite
@article{arxiv.2210.03834,
title = {Improved coarse-graining methods on two dimensional tensor networks including fermions},
author = {Muhammad Asaduzzaman and Simon Catterall and Yannick Meurice and Ryo Sakai and Goksu Can Toga},
journal= {arXiv preprint arXiv:2210.03834},
year = {2023}
}
Comments
21 pages, 21 figures