Full simulation of chiral Random Matrix Theory at non-zero chemical potential by Complex Langevin

Autor: Mollgaard, A., Splittorff, K.
Rok vydání: 2014
Předmět:
Zdroj: Phys. Rev. D 91, 036007 (2015)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevD.91.036007
Popis: 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.
Comment: 16 pages, 6 figures
Databáze: arXiv