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On complex Langevin dynamics and zeroes of the measure I: Formal proof and simple models

Gert Aarts Orcid Logo

Proceedings of Science (Lattice 2016), Issue: 036

Swansea University Author: Gert Aarts Orcid Logo

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Abstract

In the complex Langevin approach to lattice simulations at nonzero density, zeroes of the fermion determinant lead to a meromorphic drift and hence a need to revisit the theoretical derivation. We discuss how poles in the drift affect the formal justification of the approach and then explore the var...

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Published in: Proceedings of Science (Lattice 2016)
Published: LATTICE2016 2016
URI: https://cronfa.swan.ac.uk/Record/cronfa31612
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Abstract: In the complex Langevin approach to lattice simulations at nonzero density, zeroes of the fermion determinant lead to a meromorphic drift and hence a need to revisit the theoretical derivation. We discuss how poles in the drift affect the formal justification of the approach and then explore the various potential issues in simple models, in a manner that is applicable to heavy dense and full QCD.
College: Faculty of Science and Engineering
Issue: 036