Two-color lattice QCD in $(1+1)$ dimensions with Grassmann tensor renormalization group
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| Format: | Preprint |
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2025
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| _version_ | 1866913672805220352 |
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| author | Pai, Kwok Ho Akiyama, Shinichiro Todo, Synge |
| author_facet | Pai, Kwok Ho Akiyama, Shinichiro Todo, Synge |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_18918 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two-color lattice QCD in $(1+1)$ dimensions with Grassmann tensor renormalization group Pai, Kwok Ho Akiyama, Shinichiro Todo, Synge High Energy Physics - Lattice 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. |
| title | Two-color lattice QCD in $(1+1)$ dimensions with Grassmann tensor renormalization group |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2501.18918 |