Full simulation of chiral random matrix theory at nonzero chemical potential by complex Langevin

Type: Article

Publication Date: 2015-02-26

Citations: 49

DOI: https://doi.org/10.1103/physrevd.91.036007

Abstract

It is demonstrated that the complex Langevin method can simulate chiral random matrix theory at non-zero chemical potential. The successful match with the analytic prediction for the chiral condensate is established through a shift of matrix integration variables and choosing a polar representation for the new matrix elements before complexification. Furthermore, we test the proposal to work with a Langevin-time dependent quark mass and find that it allows us to control the fluctuations of the phase of the fermion determinant throughout the Langevin trajectory.

Locations

  • Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D, Particles, fields, gravitation, and cosmology - View
  • arXiv (Cornell University) - View - PDF
  • DataCite API - View

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