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arXiv:2401.16733·v1·High Energy Physics — Lattice

Contour deformations for non-holomorphic actions

Scott Lawrence🇺🇸 · Semeon Valgushev🇺🇸 · Jianan Xiao🇯🇵 · Yukari Yamauchi🇺🇸

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Abstract

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.

Comments: 7 pages, 5 figures

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