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

Muhammad Asaduzzaman, Simon Catterall, Yannick Meurice, Ryo Sakai, Goksu Can Toga

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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.

Original languageEnglish (US)
Article number24
JournalJournal of High Energy Physics
Issue number1
StatePublished - Jan 2023


  • Algorithms and Theoretical Developments
  • Field Theories in Lower Dimensions
  • Phase Transitions

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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