Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 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 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 $\partial\chi/
\partial T$ and restore crossover line in QCD phase diagram. We use improved
Wilson fermions and Iwasaki gauge action on the $16^3 \times 4$ lattice with
$m_{\pi}/m_{\rho} = 0.8$ as a sandbox to check the canonical approach. In this
framework we obtain coefficient in parametrization of crossover line
$T_c(\mu_B^2)=T_c\left(c-\kappa\, \mu_B^2/T_c^2\right)$ with $\kappa = -0.0453
\pm 0.0099$.

26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn