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Improved coarse-graining methods for two dimensional tensor networks including fermions
Journal article   Open access   Peer reviewed

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

Muhammad Asaduzzaman, Simon Catterall, Yannick Meurice, Ryo Sakai and Goksu Can Toga
The journal of high energy physics, Vol.2023(1), pp.24-22
01/09/2023
DOI: 10.1007/JHEP01(2023)024
url
https://doi.org/10.1007/JHEP01(2023)024View
Published (Version of record) Open Access

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.
Physical Sciences Physics Physics, Particles & Fields Science & Technology

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