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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Sprache:eng
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Zusammenfassung: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.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.110.074512