Calculating the EoS of the dense quark-gluon plasma using the Complex Langevin equation

Abstract

The pressure and energy density of the quark-gluon plasma at finite baryon chemical potential are calculated using the Complex Langevin equation. The stout smearing procedure is generalized for the SL(3,$\mathcal{C}$) manifold allowing the usage of an improved action in the Complex Langevin setup. Four degenerate flavors of staggered quarks with $m_{\pi }=500-700$ MeV are used with a tree-level Symanzik improved gauge action on $16^3\times 8$ lattices. Results are compared to the Taylor expansion and good agreement is found for small chemical potentials.

12 pages, 7 figures, PRD version

References in corpus (4)

• The QCD Equation of State to $\mathcal{O}({\mu }_B^6)$ from Lattice QCD
• High-precision scale setting in lattice QCD
• Simulating QCD at nonzero baryon density to all orders in the hopping parameter expansion
• Thermal momentum distribution from path integrals with shifted boundary conditions

Cited by in corpus (22)

• Lattice QCD equation of state at finite chemical potential from an alternative expansion scheme
• Finite-density lattice QCD and sign problem: current status and open problems
• Complex Langevin and other approaches to the sign problem in quantum many-body physics
• Off-diagonal correlators of conserved charges from lattice QCD and how to relate them to experiment
• New approach to lattice QCD at finite density; results for the critical end point on coarse lattices
• Lattice simulations of the QCD chiral transition at real baryon density
• Complex Langevin simulations and the QCD phase diagram: Recent developments
• Deconfinement transition line with the Complex Langevin equation up to $\mu /T\sim 5$
• Backpropagating Hybrid Monte Carlo algorithm for fast Lefschetz thimble calculations
• Complex Langevin calculations in QCD at finite density
• Thermodynamics of spin-orbit coupled bosons in two dimensions from complex Langevin
• Complex Langevin analysis of the spontaneous breaking of 10D rotational symmetry in the Euclidean IKKT matrix model
• Constraining the QCD phase diagram at finite temperature and density
• Gauge invariant input to neural network for path optimization method
• Improving efficiency of the path optimization method for a gauge theory
• Overview of the QCD phase diagram -- Recent progress from the lattice
• Color superconductivity on the lattice -- analytic predictions from QCD in a small box
• Complex Langevin analysis of 2D U(1) gauge theory on a torus with a $\theta$ term
• On the validity of the complex Langevin method near the deconfining phase transition in QCD at finite density
• Correctness criteria for complex Langevin
• Combining complex Langevin dynamics with score-based and energy-based diffusion models
• Dynamical Compactification of Extra Dimensions in the Euclidean IKKT Matrix Model via Spontaneous Symmetry Breaking