Fighting the sign problem in a chiral random matrix model with contour deformations

Attila Pasztor; David Pesznyak; Matteo Giordano; Zoltan Tulipant

Fighting the sign problem in a chiral random matrix model with contour deformations

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arxiv 2301.12947 v1 pith:76GLDT7B submitted 2023-01-30 hep-lat

Fighting the sign problem in a chiral random matrix model with contour deformations

Matteo Giordano , Attila Pasztor , David Pesznyak , Zoltan Tulipant This is my paper

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keywords contourdeformationsmatrixproblemrandomsignchiralintegration

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We studied integration contour deformations in the chiral random matrix theory of Stephanov with the goal of alleviating the finite-density sign problem. We considered simple ans\"atze for the deformed integration contours, and optimized their parameters. We find that optimization of a single parameter manages to considerably improve on the severity of the sign problem. We show numerical evidence that the improvement achieved is exponential in the degrees of freedom of the system, i.e., the size of the random matrix. We also compare the optimization method with contour deformations coming from the holomorphic flow equations.

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Path optimization method for the sign problem: Insights from random matrix models
hep-lat 2026-07 conditional novelty 5.0

Path optimization improves the average phase factor in the Stephanov model at high chemical potential but not at low chemical potential or in the chiral random matrix model, pointing to the global sign problem as the ...