Abstract
We study the deconfinement transition line in QCD for quark chemical potentials up to $\mu_q \sim 5 T$ ($\mu_B \sim 15 T$). To circumvent the sign problem we use the complex Langevin equation with gauge cooling. The plaquette gauge action is used with two flavors of naive Wilson fermions at a relatively heavy pion mass of roughly 1.3 GeV. A quadratic dependence describes the transition line well on the whole chemical potential range.
Highlights
We study the deconfinement transition line in QCD for quark chemical potentials up to μq ∼ 5 T
The study of the phase diagram of QCD on the temperature (T)-quark chemical potential (μ) plane using first principles methods is hampered by the sign problem at μ > 0, which invalidates naive Monte-Carlo simulations using importance sampling
The aim of this study is to show that the complex Langevin (CL) simulations allow following the transition line to previously unaccessible chemical potential values
Summary
The study of the phase diagram of QCD on the temperature (T)-quark chemical potential (μ) plane using first principles methods is hampered by the sign problem at μ > 0, which invalidates naive Monte-Carlo simulations using importance sampling. Previous studies used the reweighting method [4,5,6], the Taylor expansion from μ 1⁄4 0 [7,8,9,10,11,12] or analytic continuation from μ ≤ 0 [13,14,15,16]. These methods deliver solid results for quark chemical potentials up to μq=T ≃ 1
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