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Semidefinite Programs at Finite Fermion Density

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arxiv 2211.08874 v3 pith:ZWM65PWB submitted 2022-11-16 hep-lat

classification hep-lat
keywords programssemidefinitefermionsignaccuracyanalogousappliedbehavior
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Bootstrapping periodic quantum systems

    hep-th 2025-07 conditional novelty 7.0 of 10

    A bootstrap method that includes the translation operator and uses reality conditions computes accurate Bloch-band dispersion relations for the cosine potential without positivity constraints.

  2. Real-time dynamics from convex geometry

    hep-lat 2025-02 conditional novelty 3.0 of 10

    The paper derives model-independent, tight bounds on smeared real-time correlators from Euclidean lattice data by solving a finite-dimensional convex program.

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