Contour deformations for non-holomorphic actions

Contour deformations for non-holomorphic actions

We show how contour deformations may be used to control the sign problem of lattice Monte Carlo calculations with non-holomorphic actions. Such actions arise naturally in quantum mechanical scattering problems. The approach is demonstrated in conjunction with the holomorphic gradient flow. As our ce...

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Hauptverfasser: Lawrence, Scott, Valgushev, Semeon, Xiao, Jianan, Yamauchi, Yukari
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Physics - High Energy Physics - Lattice
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creator Lawrence, Scott
Valgushev, Semeon
Xiao, Jianan
Yamauchi, Yukari
description We show how contour deformations may be used to control the sign problem of lattice Monte Carlo calculations with non-holomorphic actions. Such actions arise naturally in quantum mechanical scattering problems. The approach is demonstrated in conjunction with the holomorphic gradient flow. As our central example we compute the real-time evolution of a particle in a one-dimensional analog of the Yukawa potential.
doi_str_mv 10.48550/arxiv.2401.16733
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title Contour deformations for non-holomorphic actions
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