Hopping parameter expansion to all orders using the complex Langevin equation

Abstract

We propose two novel formulations of the hopping parameter expansion for finite density QCD using Wilson fermions, while keeping the gauge action intact. We use the complex Langevin equation to circumvent the sign problem in the theory. We perform simulations at very high order of the expansion, such that convergence is directly observable. We compare results to the full QCD results, and see agreement at sufficiently high orders. 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.

Talk presented at 9th International Workshop on Critical Point and Onset of Deconfinement - CPOD2014, 17-12 November 2014, ZiF, University of Bielefeld, Germany, 10 pages, 5 figures

References in corpus (8)

• High-precision scale setting in lattice QCD
• Can stochastic quantization evade the sign problem? -- the relativistic Bose gas at finite chemical potential
• Onset Transition to Cold Nuclear Matter from Lattice QCD with Heavy Quarks
• Complex Langevin dynamics and other approaches at finite chemical potential
• Full simulation of chiral Random Matrix Theory at non-zero chemical potential by Complex Langevin
• Real-time gauge theory simulations from stochastic quantization using optimized updating
• Exploring the phase diagram of QCD with complex Langevin simulations
• QCD at nonzero chemical potential: recent progress on the lattice