Simulating QCD at nonzero baryon density to all orders in the hopping parameter expansion

Abstract

Progress in simulating QCD at nonzero baryon density requires, amongst others, substantial numerical effort. Here we propose two different expansions to all orders in the hopping parameter, preserving the full Yang-Mills action, which are much cheaper to simulate. We carry out simulations using complex Langevin dynamics, both in the hopping expansions and in the full theory, for two flavours of Wilson fermions, and agreement is seen at sufficiently high order in the expansion. These results provide support for the use of complex Langevin dynamics to study QCD at nonzero density, both in the full and the expanded theory, and for the convergence of the latter.

5 pages, 5 figures, PRD version, minor changes

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Cited by in corpus (10)

• Full simulation of chiral Random Matrix Theory at non-zero chemical potential by Complex Langevin
• Quark number densities at imaginary chemical potential in $N_f=2$ lattice QCD with Wilson fermions and its model analyses
• Progress in complex Langevin simulations of full QCD at nonzero density
• The Dirac spectrum in Complex Langevin Simulations of QCD
• Analytical studies of the complex Langevin equation with a Gaussian Ansatz and multiple solutions in the unstable region
• Complex Langevin for Lattice QCD at $T=0$ and $\mu \ge 0$
• QCD at nonzero chemical potential: recent progress on the lattice
• Testing dynamic stabilisation in complex Langevin simulations
• Systematic approximation for QCD at non-zero density
• From pQCD to neutron stars: matching equations of state to constrain global star properties