# The 35th International Symposium on Lattice Field Theory

18-24 June 2017
Palacio de Congresos
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# Contribution Parallel

Auditorio Manuel de Falla
Nonzero Temperature and Density

# Restoring canonical partition function from imaginary chemical potential

## Speakers

Nowadays GPU is used as main coprocessor to perform all mathematical operations inside numerical simulations of the lattice QCD. Using GPGPU techniques 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 LQCD. The central part of the canonical approach is the fugacity expansion of the grand canonical partition function. Canonical partition functions $Z_n(T)$ are coefficients in this expansion. Using various methods we study properties of $Z_n(T)$: lattice volume effects, phase structure, overlap problem and etc.