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Path integral contour deformations for noisy observables

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arxiv 2003.05914 v1 pith:DKL2QUND submitted 2020-03-12 hep-lat cond-mat.str-elhep-phhep-th

William Detmold , Gurtej Kanwar , Michael L. Wagman , Neill C. Warrington This is my paper
classification hep-latcond-mat.str-elhep-phhep-th
keywords contourcarlocomplexdeformationsintegralmonteobservablespath
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Monte Carlo studies of many quantum systems face exponentially severe signal-to-noise problems. We show that noise arising from complex phase fluctuations of observables can be reduced without introducing bias using path integral contour deformation techniques. A numerical study of contour deformations for correlation functions in Abelian gauge theory and complex scalar field theory demonstrates that variance can be reduced by orders of magnitude without modifying Monte Carlo sampling.

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Cited by 1 Pith paper

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    hep-lat 2026-02 unverdicted novelty 7.0 of 10

    Neural networks parametrize gauge-invariant interpolators that extract ground-state Wilson loops with improved signal-to-noise ratio compared to traditional methods while preserving gauge invariance.

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