Effective Potential for Complex Langevin Equations

Details Effective Potential for Complex Langevin Equations Effective Potential for Complex Langevin Equations

2009-02-09

arxiv.org/abs/0902.1503v1

Nucl.Phys.B822:349-366,2009

Physics

High Energy Physics

High Energy Physics - Lattice

23 pages, 2 figures

Scientific paper

10.1016/j.nuclphysb.2009.06.016

We construct an effective potential for the complex Langevin equation on a lattice. We show that the minimum of this effective potential gives the space-time and Langevin time average of the complex Langevin field. The loop expansion of the effective potential is matched with the derivative expansion of the associated Schwinger-Dyson equation to predict the stationary distribution to which the complex Langevin equation converges.

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