$SU(2)$ principal chiral model with tensor renormalization group on a cubic lattice
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866916378638811136 |
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| author | Akiyama, Shinichiro Jha, Raghav G. Unmuth-Yockey, Judah |
| author_facet | Akiyama, Shinichiro Jha, Raghav G. Unmuth-Yockey, Judah |
| contents | We study the continuous phase transition and thermodynamic observables in the three-dimensional Euclidean $SU(2)$ principal chiral field model with the triad tensor renormalization group (tTRG) and the anisotropic tensor renormalization group (ATRG) methods. Using these methods, we find results that are consistent with previous Monte Carlo estimates and the predicted renormalization group scaling of the magnetization close to criticality. These results bring us one step closer to studying finite-density QCD in four dimensions using tensor network methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_10081 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $SU(2)$ principal chiral model with tensor renormalization group on a cubic lattice Akiyama, Shinichiro Jha, Raghav G. Unmuth-Yockey, Judah High Energy Physics - Lattice High Energy Physics - Theory We study the continuous phase transition and thermodynamic observables in the three-dimensional Euclidean $SU(2)$ principal chiral field model with the triad tensor renormalization group (tTRG) and the anisotropic tensor renormalization group (ATRG) methods. Using these methods, we find results that are consistent with previous Monte Carlo estimates and the predicted renormalization group scaling of the magnetization close to criticality. These results bring us one step closer to studying finite-density QCD in four dimensions using tensor network methods. |
| title | $SU(2)$ principal chiral model with tensor renormalization group on a cubic lattice |
| topic | High Energy Physics - Lattice High Energy Physics - Theory |
| url | https://arxiv.org/abs/2406.10081 |