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arxiv 1309.4335 v1 pith:XOT52BRD submitted 2013-09-17 hep-lat hep-th

Complex Langevin Dynamics for chiral Random Matrix Theory

classification hep-lat hep-th
keywords langevincomplexdynamicsquarkchiralconvergencedeterminantfermion
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We apply complex Langevin dynamics to chiral random matrix theory at nonzero chemical potential. At large quark mass the simulations agree with the analytical results while incorrect convergence is found for small quark masses. The region of quark masses for which the complex Langevin dynamics converges incorrectly is identified as the region where the fermion determinant frequently traces out a path surrounding the origin of the complex plane during the Langevin flow. This links the incorrect convergence to an ambiguity in the Langevin force due to the presence of the logarithm of the fermion determinant in the action.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Analysis of the QCD Kondo phase using random matrices

    hep-th 2020-05 unverdicted novelty 6.0

    A novel random matrix model for the QCD Kondo phase is solved in the large-N limit, revealing three phases and deriving low-energy effective theories for Nambu-Goldstone modes.

  2. The emergence of (3+1)-dimensional expanding spacetime from complex Langevin simulations of the Lorentzian type IIB matrix model with deformations

    hep-th 2026-04 unverdicted novelty 5.0

    Complex Langevin simulations of the deformed Lorentzian type IIB matrix model show emergence of smooth (3+1)-dimensional expanding spacetime with real space and time.

  3. Correctness criteria for complex Langevin

    hep-lat 2026-04 unverdicted novelty 4.0

    A comparison of prominent correctness criteria for complex Langevin dynamics on four simple models shows differences in applicability, ease of use, and predictive power.