Progress on Complex Langevin simulations of a finite density matrix model for QCD
- Dr. Savvas ZAFEIROPOULOS
- Dr. Savvas ZAFEIROPOULOS (College of William & Mary and Jefferson Lab)
We study an RMT model for QCD at finite density using the Complex Langevin algorithm. Naive implementation of the algorithm shows convergence towards the phase quenched or quenched theory. A detailed analysis of this issue and a potential resolution of the failure of this algorithm are discussed. Among others we study the behavior of the real and imaginary parts of the action under Langevin evolution, the distribution of the eigenvalues of the Dirac operator as well as the evolution of the fermion determinant. We find that the correct result can be obtained by a reweighting procedure. This indicates that there is a “residual phase” which is not taken into account by the Langevin algorithm, which is probabilistic, but when it is included explicitly, the correct result is obtained.
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Nonzero Temperature and Density