Canonical Approach for Exploring Finite Density QCD

26 Jun 2017, 11:45


Atsushi Nakamura (FEFU)


Canonical approach is a way to map QCD at imaginary chemical potential regions to the real ones. The essential idea is simple: Z(¥mu,T) = ¥sum_n Z_n (exp(¥mu/T))^n, where Z_n, the canonical partition functions, do not depend on ¥mu. We construct Zn in the imaginary ¥mu regions, and we can calculate Z(¥mu,T) at any real ¥mu. Since Z_n drops very fastly as |n| increases, and we must fight against the overlap problem, we need several algorithmic and computational tricks, such as a multi-precision calculation. In Vladivostok, we have investigated the sources of unstable Z_n, and developed methods to overcome them. I will report these studies and the outcomes, especially those for comparison of heavy ion collision experiment.

Primary author

Atsushi Nakamura (FEFU)


Prof. Alexander Molochkov (FEFU) Mr Alexander Nikolaev (FEFU) Mr Denis Boyda (FEFU) Prof. Valentin Zakharov (ITEP/FEFU) Prof. Vitaly Bornyakov (ITEP) Dr Vladimir Goy (FEFU)

Presentation Materials