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29 March 2024
 
  » arxiv » 1712.1515

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Restoring canonical partition functions from imaginary chemical potential
V.G. Bornyakov ; D. Boyda ; V. Goy ; A. Molochkov ; A. Nakamura ; A. Nikolaev ; V.I. Zakharov ;
Date 5 Dec 2017
AbstractUsing 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 $Z_n(T)$ are coefficients of this expansion. Using various methods we study properties of $Z_n(T)$. At the last step we perform cubic spline for temperature dependence of $Z_n(T)$ at fixed $n$ and compute baryon number susceptibility $chi_B/T^2$ as function of temperature. After that we compute numerically $partialchi/ partial T$ and restore crossover line in QCD phase diagram. We use improved Wilson fermions and Iwasaki gauge action on the $16^3 imes 4$ lattice with $m_{pi}/m_{ ho} = 0.8$ as a sandbox to check the canonical approach. In this framework we obtain coefficient in parametrization of crossover line $T_c(mu_B^2)=T_cleft(c-kappa, mu_B^2/T_c^2 ight)$ with $kappa = -0.0453 pm 0.0099$.
Source arXiv, 1712.1515
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