Degenerate distributions in complex Langevin dynamics: one-dimensional QCD at finite chemical potential

Details Degenerate distributions in complex Langevin dynamics: one-dimensional QCD at finite chemical potential Degenerate distributions in complex Langevin dynamics: one-dimensional QCD at finite chemical potential

2010-06-02

arxiv.org/abs/1006.0332v2

Physics

High Energy Physics

High Energy Physics - Lattice

20 pages, several eps figures, minor comments added, to appear in JHEP

Scientific paper

We demonstrate analytically that complex Langevin dynamics can solve the sign problem in one-dimensional QCD in the thermodynamic limit. In particular, it is shown that the contributions from the complex and highly oscillating spectral density of the Dirac operator to the chiral condensate are taken into account correctly. We find an infinite number of classical fixed points of the Langevin flow in the thermodynamic limit. The correct solution originates from a continuum of degenerate distributions in the complexified space.

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