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2017

Complex Langevin dynamics and zeroes of the fermion determinant

Aarts, Gert, Seiler, Erhard, Sexty, Denes et al.

Understand

QCD at nonzero baryon chemical potential suffers from the sign problem, due to the complex quark determinant.

Complex Langevin dynamics can provide a solution, provided certain conditions are met.
One of these conditions, holomorphicity of the Langevin drift, is absent in QCD since zeroes of the determinant result in a meromorphic drift.
We first derive how poles in the drift affect the formal justification of the approach and then explore the various possibilities in simple models.