Two-color lattice QCD in (1 + 1) dimensions with Grassmann tensor renormalization group

The $(1+1)$-dimensional two-color lattice QCD is studied with the Grassmann tensor renormalization group. We construct tensor network representations of theories with the staggered fermion and the Wilson fermion and show that Grassmann tensor networks can describe both cases with the same bond dimension. We also propose an efficient initial tensor compression scheme to gauge degrees of freedom. We compute the number density, chiral condensate, and diquark condensate at finite density, employing the staggered fermions. For the theory with Wilson fermion, a critical point in the negative mass region is identified by inspecting the pseudoscalar condensate and the conformal field theory data.

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Publication Details

Published
2025-01-27
DOI
https://doi.org/10.22323/1.466.0364
Primary Topic
Quantum Chromodynamics and Particle Interactions
Type
article
Field-Weighted Citation Impact
0.00

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article

Two-color lattice QCD in (1 + 1) dimensions with Grassmann tensor renormalization group

Synge Todo, Shinichiro Akiyama, Ho Pai Kwok
Quantum Chromodynamics and Particle Interactions
article

Two-color lattice QCD in (1 + 1) dimensions with Grassmann tensor renormalization group

Synge Todo, Shinichiro Akiyama, Ho Pai Kwok
article en

Abstract

The $(1+1)$-dimensional two-color lattice QCD is studied with the Grassmann tensor renormalization group. We construct tensor network representations of theories with the staggered fermion and the Wilson fermion and show that Grassmann tensor networks can describe both cases with the same bond dimension. We also propose an efficient initial tensor compression scheme to gauge degrees of freedom. We compute the number density, chiral condensate, and diquark condensate at finite density, employing the staggered fermions. For the theory with Wilson fermion, a critical point in the negative mass region is identified by inspecting the pseudoscalar condensate and the conformal field theory data.

Ministry of Education, Culture, Sports, Science and Technology, University of Tokyo, Japan Society for the Promotion of Science
Openalex Percentile: Top 99%
Quantum Chromodynamics and Particle Interactions
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