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Degenerate distributions in complex Langevin dynamics: one-dimensional QCD at finite chemical potential
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We demonstrate analytically that complex Langevin dynamics can solve the sign problem in one-dimensional QCD in the thermodynamic limit. In particular, it is shown that the contributions from the complex and highly oscillating spectral density of the Dirac operator to the chiral condensate are taken into account correctly. We find an infinite number of classical fixed points of the Langevin flow in the thermodynamic limit. The correct solution originates from a continuum of degenerate distributions in the complexified space.
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Cited by 2 Pith papers
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Complex Langevin Simulations of Zero-dimensional Supersymmetric Quantum Field Theories
Complex Langevin simulations, using a twisted-boundary-condition auxiliary-field order parameter, correctly flag spontaneous supersymmetry breaking in several zero-dimensional N=2 models, including new complex-action cases.
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Thermodynamic Diagnostics for Complex Langevin Simulations: The Role of Configurational Temperature
Configurational temperature from action gradients and Hessians offers a sensitive new correctness diagnostic for complex Langevin simulations, reproducing input temperature to 0.2-3% in 1D PT-symmetric models.
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