Modifying partition functions: a way to solve the sign problem

Abstract

A possible method to solve the sign problem is developed by modifying the original theory. Considering several modifications of the partition function, the observable in the original theory is reconstructed from the identity connecting the observables in the original and modified theories. We demonstrate that our method gives the correct results even if the original theory has the severe sign problem by using a simple 1-dimensional integral.

8 pages, 11 figures

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• Complex Langevin calculations in finite density QCD at large $\mu /T$ with the deformation technique
• Complex Langevin analysis of the spontaneous breaking of 10D rotational symmetry in the Euclidean IKKT matrix model
• Gauge invariant input to neural network for path optimization method
• Deep Learning of Fermion Sign Fluctuations
• Lefschetz thimble-inspired weight regularizations for complex Langevin simulations
• Performance of Complex Langevin Simulation in 0+1 dimensional massive Thirring model at finite density
• Dynamical Compactification of Extra Dimensions in the Euclidean IKKT Matrix Model via Spontaneous Symmetry Breaking