The Lax pair for the fermionic Bazhanov-Stroganov R-operator
We derive the Lax connection of the free fermion model on a lattice starting from the fermionic formulation of Bazhanov-Stroganov's three-parameter elliptic parametrization for the R-operator. It results in the Yang-Baxter and decorated Yang-Baxter equations of difference type in one of the spe...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-01-01
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| Series: | Physics Letters B |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S037026932030808X |
| _version_ | 1818669525851176960 |
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| author | A. Melikyan G. Weber |
| author_facet | A. Melikyan G. Weber |
| author_sort | A. Melikyan |
| collection | DOAJ |
| description | We derive the Lax connection of the free fermion model on a lattice starting from the fermionic formulation of Bazhanov-Stroganov's three-parameter elliptic parametrization for the R-operator. It results in the Yang-Baxter and decorated Yang-Baxter equations of difference type in one of the spectral parameters, which is the most suitable form to obtain any relativistic model of free fermions in the continuous limit. |
| first_indexed | 2024-12-17T06:53:36Z |
| format | Article |
| id | doaj.art-ca4b2a7354e4453b9ce40af6562e9e0a |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-17T06:53:36Z |
| publishDate | 2021-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-ca4b2a7354e4453b9ce40af6562e9e0a2022-12-21T21:59:31ZengElsevierPhysics Letters B0370-26932021-01-01812136005The Lax pair for the fermionic Bazhanov-Stroganov R-operatorA. Melikyan0G. Weber1Instituto de Física, Universidade de Brasília, 70910-900, Brasília, DF, Brazil; Corresponding author.Escola de Engenharia de Lorena, Universidade de São Paulo, 12602-810, Lorena, SP, BrazilWe derive the Lax connection of the free fermion model on a lattice starting from the fermionic formulation of Bazhanov-Stroganov's three-parameter elliptic parametrization for the R-operator. It results in the Yang-Baxter and decorated Yang-Baxter equations of difference type in one of the spectral parameters, which is the most suitable form to obtain any relativistic model of free fermions in the continuous limit.http://www.sciencedirect.com/science/article/pii/S037026932030808XIntegrable systemsYang-Baxter equationLax pairOne-dimensional Hubbard model |
| spellingShingle | A. Melikyan G. Weber The Lax pair for the fermionic Bazhanov-Stroganov R-operator Physics Letters B Integrable systems Yang-Baxter equation Lax pair One-dimensional Hubbard model |
| title | The Lax pair for the fermionic Bazhanov-Stroganov R-operator |
| title_full | The Lax pair for the fermionic Bazhanov-Stroganov R-operator |
| title_fullStr | The Lax pair for the fermionic Bazhanov-Stroganov R-operator |
| title_full_unstemmed | The Lax pair for the fermionic Bazhanov-Stroganov R-operator |
| title_short | The Lax pair for the fermionic Bazhanov-Stroganov R-operator |
| title_sort | lax pair for the fermionic bazhanov stroganov r operator |
| topic | Integrable systems Yang-Baxter equation Lax pair One-dimensional Hubbard model |
| url | http://www.sciencedirect.com/science/article/pii/S037026932030808X |
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