Bibliographic Details
Title: |
Improved coarse-graining methods on two dimensional tensor networks including fermions |
Authors: |
Asaduzzaman, Muhammad, Catterall, Simon, Meurice, Yannick, Sakai, Ryo, Toga, Goksu Can |
Source: |
JHEP 01 (2023) 024 |
Publication Year: |
2022 |
Collection: |
High Energy Physics - Lattice |
Subject Terms: |
High Energy Physics - Lattice |
More Details: |
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. Comment: 21 pages, 21 figures |
Document Type: |
Working Paper |
DOI: |
10.1007/JHEP01(2023)024 |
Access URL: |
http://arxiv.org/abs/2210.03834 |
Accession Number: |
edsarx.2210.03834 |
Database: |
arXiv |