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Modifying partition functions: A way to solve the sign problem

2017/09/30 by Takahiro Doi, Takahiro M. Doi, Shoichiro Tsutsui
Mathematics · Physics and Astronomy · #Calculus (dental) #Combinatorics #Computer science #Function (biology) #Identity (music) #Mathematical analysis #Mathematics #Observable #Partition (number theory) #Partition function (quantum field theory) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum Mechanics and Applications #Quantum many-body systems #Quantum mechanics #Sign (mathematics) #Sign function #Simple (philosophy) #hep-lat

paper · pdf · doi:10.1103/physrevd.96.094511

published as Phys. Rev. D 96, 094511 (2017) · 8 pages, 11 figures

openalex publication_date 2017/11/28 · arxiv created 2017/11/29 · arxiv updated 2017/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A possible method to solve the sign problem is developed by modifying the original theory. Considering several modifications of the partition function, the observable in the original theory is reconstructed from the identity connecting the observables in the original and modified theories. We demonstrate that our method gives the correct results, even if the original theory has the severe sign problem, by using a simple one-dimensional integral.

Citations