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arXiv · 2211.08874

Semidefinite Programs at Finite Fermion Density

Scott Lawrence
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Abstract

Semidefinite programs can be constructed to provide a non-perturbative view of the zero-temperature behavior of quantum systems. This paper examines the properties of these semidefinite programs when applied to lattice-regulated field theories exhibiting fermion sign problems. Specifically on the finite-density Thirring model, there is no indication that the accuracy of semidefinite programs suffers from any difficulty analogous to the sign problem.

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Scott Lawrence. 2023-07-09. Semidefinite Programs at Finite Fermion Density. https://doi.org/10.1103/physrevd.107.094511

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