Restoring canonical partition functions from imaginary chemical potential
Using GPGPU techniques and multi-precision calculation we developed the code to study QCD phase transition line in the canonical approach. The canonical approach is a powerful tool to investigate sign problem in Lattice QCD. The central part of the canonical approach is the fugacity expansion of the...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2018-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | https://doi.org/10.1051/epjconf/201817507027 |
| _version_ | 1818923353077972992 |
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| author | Bornyakov V.G. Boyda D. Goy V. Molochkov A. Nakamura A. Nikolaev A. Zakharov V.I. |
| author_facet | Bornyakov V.G. Boyda D. Goy V. Molochkov A. Nakamura A. Nikolaev A. Zakharov V.I. |
| author_sort | Bornyakov V.G. |
| collection | DOAJ |
| description | Using GPGPU techniques and multi-precision calculation we developed the code to study QCD phase transition line in the canonical approach. The canonical approach is a powerful tool to investigate sign problem in Lattice QCD. The central part of the canonical approach is the fugacity expansion of the grand canonical partition functions. Canonical partition functions Zn(T) are coefficients of this expansion. Using various methods we study properties of Zn(T). At the last step we perform cubic spline for temperature dependence of Zn(T) at fixed n and compute baryon number susceptibility χB/T2 as function of temperature. After that we compute numerically ∂χ/∂T and restore crossover line in QCD phase diagram. We use improved Wilson fermions and Iwasaki gauge action on the 163 × 4 lattice with mπ/mρ = 0.8 as a sandbox to check the canonical approach. In this framework we obtain coefficient in parametrization of crossover line Tc(µ2B) = Tc(C−ĸµ2B/T2c) with ĸ = −0.0453 ± 0.0099. |
| first_indexed | 2024-12-20T02:08:05Z |
| format | Article |
| id | doaj.art-ad44b8414e964d1ca58d95f317769a1c |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-12-20T02:08:05Z |
| publishDate | 2018-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-ad44b8414e964d1ca58d95f317769a1c2022-12-21T19:57:09ZengEDP SciencesEPJ Web of Conferences2100-014X2018-01-011750702710.1051/epjconf/201817507027epjconf_lattice2018_07027Restoring canonical partition functions from imaginary chemical potentialBornyakov V.G.Boyda D.Goy V.Molochkov A.Nakamura A.Nikolaev A.Zakharov V.I.Using GPGPU techniques and multi-precision calculation we developed the code to study QCD phase transition line in the canonical approach. The canonical approach is a powerful tool to investigate sign problem in Lattice QCD. The central part of the canonical approach is the fugacity expansion of the grand canonical partition functions. Canonical partition functions Zn(T) are coefficients of this expansion. Using various methods we study properties of Zn(T). At the last step we perform cubic spline for temperature dependence of Zn(T) at fixed n and compute baryon number susceptibility χB/T2 as function of temperature. After that we compute numerically ∂χ/∂T and restore crossover line in QCD phase diagram. We use improved Wilson fermions and Iwasaki gauge action on the 163 × 4 lattice with mπ/mρ = 0.8 as a sandbox to check the canonical approach. In this framework we obtain coefficient in parametrization of crossover line Tc(µ2B) = Tc(C−ĸµ2B/T2c) with ĸ = −0.0453 ± 0.0099.https://doi.org/10.1051/epjconf/201817507027 |
| spellingShingle | Bornyakov V.G. Boyda D. Goy V. Molochkov A. Nakamura A. Nikolaev A. Zakharov V.I. Restoring canonical partition functions from imaginary chemical potential EPJ Web of Conferences |
| title | Restoring canonical partition functions from imaginary chemical potential |
| title_full | Restoring canonical partition functions from imaginary chemical potential |
| title_fullStr | Restoring canonical partition functions from imaginary chemical potential |
| title_full_unstemmed | Restoring canonical partition functions from imaginary chemical potential |
| title_short | Restoring canonical partition functions from imaginary chemical potential |
| title_sort | restoring canonical partition functions from imaginary chemical potential |
| url | https://doi.org/10.1051/epjconf/201817507027 |
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