Tensor Renormalization Group for fermions
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929211071004672 |
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| author | Akiyama, Shinichiro Meurice, Yannick Sakai, Ryo |
| author_facet | Akiyama, Shinichiro Meurice, Yannick Sakai, Ryo |
| contents | We review the basic ideas of the Tensor Renormalization Group method and show how they can be applied for lattice field theory models involving relativistic fermions and Grassmann variables in arbitrary dimensions. We discuss recent progress for entanglement filtering, loop optimization, bond-weighting techniques and matrix product decompositions for Grassmann tensor networks. The new methods are tested with two-dimensional Wilson--Majorana fermions and multi-flavor Gross--Neveu models. We show that the methods can also be applied to the fermionic Hubbard model in 1+1 and 2+1 dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_08542 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tensor Renormalization Group for fermions Akiyama, Shinichiro Meurice, Yannick Sakai, Ryo High Energy Physics - Lattice Statistical Mechanics Quantum Physics We review the basic ideas of the Tensor Renormalization Group method and show how they can be applied for lattice field theory models involving relativistic fermions and Grassmann variables in arbitrary dimensions. We discuss recent progress for entanglement filtering, loop optimization, bond-weighting techniques and matrix product decompositions for Grassmann tensor networks. The new methods are tested with two-dimensional Wilson--Majorana fermions and multi-flavor Gross--Neveu models. We show that the methods can also be applied to the fermionic Hubbard model in 1+1 and 2+1 dimensions. |
| title | Tensor Renormalization Group for fermions |
| topic | High Energy Physics - Lattice Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2401.08542 |