Complex Langevin: Boundary terms and application to QCD

Manuel Scherzer; Erhard Seiler; D\'enes Sexty; Ion-Olimpiu; Stamatescu

arXiv:1810.09713·hep-lat·October 30, 2018

Complex Langevin: Boundary terms and application to QCD

Manuel Scherzer, Erhard Seiler, D\'enes Sexty, Ion-Olimpiu, Stamatescu

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Abstract

We employ the Complex Langevin method for simulation of complex-valued actions. First, we show how to test for convergence of the method by explicitely computing boundary terms and demonstrate this in a model. Then we investigate the deconfinement phase transition of QCD with $N_{f} = 2$ Wilson-fermions using the Complex Langevin Method and. We give preliminary results for the transition temperatures up to $μ / T_{c} (μ = 0) \approx 5$ and compute the curvature coefficient $κ_{2}$ .

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