Abstract
The Taylor expansion approach to the equation of state of QCD at finite chemical potential struggles to reach large chemical potential μB. This is primarily due to the intrinsic diffculty in precisely determining higher order Taylor coefficients, as well as the structure of the temperature dependence of such observables. In these proceedings, we illustrate a novel scheme [1] that allows us to extrapolate the equation of state of QCD without suffering from the poor convergence typical of the Taylor expansion approach. We continuum extrapolate the coefficients of our new expansion scheme and show the thermodynamic observables up to μB/T ≤ 3.5.
Highlights
The phase diagram of Quantum Chromodynamics (QCD) is a field of major interest from both a theoretical and experimental standpoint. It is known from lattice QCD [2] that the chiral/deconfinement transition is a smooth crossover
New techniques that allow to directly simulate the theory at finite chemical potential exist [3, 4], they cannot be applied to large scale QCD simulations yet
At large temperatures, resummed perturbation theory has provided a quantitative description of the chemical potential dependence of several observables, which agree with lattice
Summary
The phase diagram of Quantum Chromodynamics (QCD) is a field of major interest from both a theoretical and experimental standpoint. It is known from lattice QCD [2] that the chiral/deconfinement transition is a smooth crossover. At finite baryon density lattice QCD faces a sign problem, due to the introduction of a real chemical potential that makes the action complex.
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