EPJ Web Conf.
Volume 137, 2017XIIth Quark Confinement and the Hadron Spectrum
|Number of page(s)||10|
|Section||Section D: Deconfinement|
|Published online||22 March 2017|
Complex Langevin simulations of a finite density matrix model for QCD
1 Institute for Theoretical Physics, University of Regensburg, 93040 Regensburg, Germany
2 Department of Physics, College of Science, Swansea University, Swansea, SA2 8PP, United Kingdom
3 Institut für Theoretische Physik, Goethe-Universität Frankfurt, Max-von-Laue-Str. 1, 60438 Frankfurt am Main, Germany
4 Department of Physics and Astronomy, Stony Brook University, Stony Brook, NY, 11794
5 Jefferson Laboratory, 12000 Jefferson Avenue, Newport News, VA 23606, USA
6 Department of Physics, College of William and Mary, Williamsburg, VA 23187-8795, USA
a Presenter; e-mail: email@example.com
Published online: 22 March 2017
We study a random matrix model for QCD at finite density via complex Langevin dynamics. This model has a phase transition to a phase with nonzero baryon density. We study the convergence of the algorithm as a function of the quark mass and the chemical potential and focus on two main observables: the baryon density and the chiral condensate. For simulations close to the chiral limit, the algorithm has wrong convergence properties when the quark mass is in the spectral domain of the Dirac operator. A possible solution of this problem is discussed.
© The Authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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