Contour deformations for nonholomorphic actions

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

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Veröffentlicht in:Physical review. D 2024-10, Vol.110 (7), Article 074512
Hauptverfasser: Lawrence, Scott, Valgushev, Semeon, Xiao, Jianan, Yamauchi, Yukari
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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 nonholomorphic Boltzmann factors. 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.
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PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
title Contour deformations for nonholomorphic actions
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