Improved coarse-graining methods on two dimensional tensor networks including fermions

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
More Details
DOI:10.1007/JHEP01(2023)024