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Numerical sign problem

Known as: Sign problem 
The numerical sign problem in applied mathematics refers to the difficulty of numerically evaluating the integral of a highly oscillatory function of… 
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Related topics

Related topics

6 relations
Auxiliary field Monte CarloHubbard modelLattice QCDMonte Carlo integration

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Review
2018
Review
2018
Sign-Problem-Free Fermionic Quantum Monte Carlo: Developments and Applications
Reliable simulations of correlated quantum systems, including high-temperature superconductors and frustrated magnets, are… 
2018
2018
Hybrid Monte Carlo study of competing order in the extended fermionic Hubbard model on the hexagonal lattice
Using first-principle Hybrid-Monte-Carlo (HMC) simulations, we carry out an unbiased study of the competition between spin… 
Highly Cited
2017
Highly Cited
2017
Application of a neural network to the sign problem via the path optimization method
We introduce the feedforward neural network to attack the sign problem via the path optimization method. The variables of… 
Highly Cited
2017
Highly Cited
2017
Complex Langevin dynamics and zeroes of the fermion determinant
A bstractQCD at nonzero baryon chemical potential suffers from the sign problem, due to the complex quark determinant. Complex… 
2017
2017
Third-order perturbative lattice and complex Langevin analyses of the finite-temperature equation of state of nonrelativistic fermions in one dimension
We analyze the pressure and density equations of state of unpolarized non-relativistic fermions at finite temperature in one… 
Highly Cited
2015
Highly Cited
2015
Gauge-invariant implementation of the Abelian-Higgs model on optical lattices
© 2015 American Physical Society. We present a gauge-invariant effective action for the Abelian-Higgs model (scalar… 
Highly Cited
2011
Highly Cited
2011
Complex Langevin dynamics in the SU(3) spin model at nonzero chemical potential revisited
A bstractThe three-dimensional SU(3) spin model is an effective Polyakov loop model for QCD at nonzero temperature and density… 
Highly Cited
2011
Highly Cited
2011
The QCD deconfinement transition for heavy quarks and all baryon chemical potentials
A bstractUsing combined strong coupling and hopping parameter expansions, we derive an effective three-dimensional theory from… 
Highly Cited
2009
Highly Cited
2009
Thermodynamics of two flavor QCD from imaginary chemical potentials
We study QCD thermodynamics in presence of two independent imaginary chemical potentials coupled to two degenerate flavors of… 
Highly Cited
1990
Highly Cited
1990
On Scaling Newton's Method for Polar Decomposition and the Matrix Sign Function
A precise charcterization is given of the speed of convergence of the optimally scaled Newton method for the polar decomposition… 
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