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Article overview
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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 | Abstract: | 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 $Z_n(T)$ 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 | Services: | Forum | Review | PDF | Favorites |
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