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

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

doi:10.1007/JHEP01(2023)024

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

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

Department of Physics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English (US)
Article number	24
Journal	Journal of High Energy Physics
Volume	2023
Issue number	1
DOIs	https://doi.org/10.1007/JHEP01(2023)024
State	Published - Jan 2023

Keywords

Algorithms and Theoretical Developments
Field Theories in Lower Dimensions
Phase Transitions

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1007/JHEP01(2023)024

Cite this

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AU - Catterall, Simon

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AU - Sakai, Ryo

AU - Toga, Goksu Can

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AB - 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.

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KW - Phase Transitions

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

Abstract

Keywords

ASJC Scopus subject areas

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