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No sign problem in one-dimensional path integral Monte Carlo simulation of fermions: A topological proof.

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This paper shows that, in one dimension, due to its topology, a closed-loop product of short-time propagators is always positive, despite the fact that each antisymmetric free fermion propagator can… Click to show full abstract

This paper shows that, in one dimension, due to its topology, a closed-loop product of short-time propagators is always positive, despite the fact that each antisymmetric free fermion propagator can be of either sign.

Keywords: problem one; sign problem; path integral; dimensional path; integral monte; one dimensional

Journal Title: Physical review. E
Year Published: 2023

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