A finite-dimensional regularized master field that minimizes residual loop equations reproduces exact Euclidean and perturbative Minkowski results for one- and two-matrix models.
The Complex Langevin method: When can it be trusted?
6 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We analyze to what extent the complex Langevin method, which is in principle capable of solving the so-called sign problems, can be considered as reliable. We give a formal derivation of the correctness and then point out various mathematical loopholes. The detailed study of some simple examples leads to practical suggestions about the application of the method.
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representative citing papers
Continuum-extrapolated lattice QCD simulations with complex Langevin produce the equation of state at high baryon chemical potentials above the crossover temperature at the physical point.
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.
WV-HMC computes number and energy densities for the doped 2D Hubbard model on 6x6 and 8x8 lattices at U/t=8 and T/t≈0.156, showing effectiveness where standard DQMC fails.
Numerical investigation of supersymmetry's role in spacetime emergence within the Lorentz gauge-fixed type IIB matrix model using Complex Langevin dynamics.
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The emergence of (3+1)-dimensional expanding spacetime from complex Langevin simulations of the Lorentzian type IIB matrix model with deformations
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.