On the validity of the complex Langevin method near the deconfining phase transition in QCD at finite density
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| Autores principales: | , , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866909868941639680 |
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| author | Tsutsui, Shoichiro Asano, Yuhma Ito, Yuta Matsufuru, Hideo Namekawa, Yusuke Nishimura, Jun Shimasaki, Shinji Tsuchiya, Asato |
| author_facet | Tsutsui, Shoichiro Asano, Yuhma Ito, Yuta Matsufuru, Hideo Namekawa, Yusuke Nishimura, Jun Shimasaki, Shinji Tsuchiya, Asato |
| contents | In our previous paper [JHEP 10 (2020) 144], we found that the complex Langevin (CL) method works for QCD at finite density on the $16^3 \times 32$ lattice in the low-temperature high-density regime within the range $μ/ T = 1.6 - 9.6$ with $μ$ and $T$ being the quark chemical potential and the temperature, which enabled us to see a clear trend towards the formation of the Fermi sphere. Here we investigate the validity of the CL method on the $24^3 \times 12$ lattice in the deconfined phase near the deconfinement phase transition. As before, we use four-flavor staggered fermions and judge the validity using the criterion based on the probability distribution of the drift term. The spatial extent is $L = (1.3 - 2.7 {\rm ~fm} )> Λ_{\rm LQCD}^{-1} \sim 1{\rm ~fm}$, in contrast to our previous study with $L < Λ_{\rm LQCD}^{-1}$. We find that the CL method works in a broad region up to $μ/ T = 4.8$, while it starts to fail as we approach the phase boundary due to the singular drift problem, which can be understood qualitatively by extending the Banks-Casher relation to the case at finite density. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_06551 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the validity of the complex Langevin method near the deconfining phase transition in QCD at finite density Tsutsui, Shoichiro Asano, Yuhma Ito, Yuta Matsufuru, Hideo Namekawa, Yusuke Nishimura, Jun Shimasaki, Shinji Tsuchiya, Asato High Energy Physics - Lattice Statistical Mechanics High Energy Physics - Theory Nuclear Theory In our previous paper [JHEP 10 (2020) 144], we found that the complex Langevin (CL) method works for QCD at finite density on the $16^3 \times 32$ lattice in the low-temperature high-density regime within the range $μ/ T = 1.6 - 9.6$ with $μ$ and $T$ being the quark chemical potential and the temperature, which enabled us to see a clear trend towards the formation of the Fermi sphere. Here we investigate the validity of the CL method on the $24^3 \times 12$ lattice in the deconfined phase near the deconfinement phase transition. As before, we use four-flavor staggered fermions and judge the validity using the criterion based on the probability distribution of the drift term. The spatial extent is $L = (1.3 - 2.7 {\rm ~fm} )> Λ_{\rm LQCD}^{-1} \sim 1{\rm ~fm}$, in contrast to our previous study with $L < Λ_{\rm LQCD}^{-1}$. We find that the CL method works in a broad region up to $μ/ T = 4.8$, while it starts to fail as we approach the phase boundary due to the singular drift problem, which can be understood qualitatively by extending the Banks-Casher relation to the case at finite density. |
| title | On the validity of the complex Langevin method near the deconfining phase transition in QCD at finite density |
| topic | High Energy Physics - Lattice Statistical Mechanics High Energy Physics - Theory Nuclear Theory |
| url | https://arxiv.org/abs/2505.06551 |