Effective Potential for Complex Langevin Equations

Gerald Guralnik; Cengiz Pehlevan

doi:10.1016/j.nuclphysb.2009.06.016

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arXiv · 0902.1503

Effective Potential for Complex Langevin Equations

Gerald Guralnik·Cengiz Pehlevan

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Abstract

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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Gerald Guralnik, Cengiz Pehlevan. 2009-02-09. Effective Potential for Complex Langevin Equations. https://doi.org/10.1016/j.nuclphysb.2009.06.016

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