English

Semidefinite Programs at Finite Fermion Density

High Energy Physics - Lattice 2023-07-11 v3

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.

Keywords

Cite

@article{arxiv.2211.08874,
  title  = {Semidefinite Programs at Finite Fermion Density},
  author = {Scott Lawrence},
  journal= {arXiv preprint arXiv:2211.08874},
  year   = {2023}
}

Comments

7 pages, 5 figures; final version

R2 v1 2026-06-28T06:02:07.499Z