A finite-dimensional regularization of the master field enables direct numerical computation of large-N matrix models in both Euclidean and Minkowski signatures while reproducing known solutions in simple test cases.
The Complex Langevin method: When can it be trusted?
6 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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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UNVERDICTED 6representative 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.
A comparison of prominent correctness criteria for complex Langevin dynamics on four simple models shows differences in applicability, ease of use, and predictive power.
citing papers explorer
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Regularized Master-Field Approximation for Large-$N$ Reduced Matrix Models
A finite-dimensional regularization of the master field enables direct numerical computation of large-N matrix models in both Euclidean and Minkowski signatures while reproducing known solutions in simple test cases.
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Finite-density equation of state of hot QCD using the complex Langevin equation
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.
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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.
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Applying the Worldvolume Hybrid Monte Carlo method to the Hubbard model away from half filling
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.
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Impact of supersymmetry on the dynamical emergence of the spacetime in the type IIB matrix model with the Lorentz symmetry "gauge fixed"
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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Correctness criteria for complex Langevin
A comparison of prominent correctness criteria for complex Langevin dynamics on four simple models shows differences in applicability, ease of use, and predictive power.