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Bootstrap bounds on D0-brane quantum mechanics

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arxiv 2302.04416 v2 pith:SINIXSQW submitted 2023-02-09 hep-th

Henry W. Lin This is my paper · ORCID
classification hep-th
keywords boundsbootstrapboundd0-branemechanicsquantumalreadybest
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We derive simple bootstrap bounds on correlation functions of the BFSS matrix theory/D0-brane quantum mechanics. The result strengthens and extends Polchinski's virial theorem bound to finite energies and gives the first non-trivial bound on $\langle{\text{Tr}\, X^2\rangle}$. Despite their simplicity, the bounds hint at some features of the dual black hole geometry. Our best lower bounds are already a factor of $\sim 2$ from existing Monte Carlo results.

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Cited by 5 Pith papers

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

  1. An effective field theory approach to the sign problem in BFSS

    hep-th 2026-06 unverdicted novelty 8.0 of 10

    The Pfaffian phase in BFSS becomes an O(9) pseudoscalar operator in a bosonic matrix integral, requiring 10-loop order in the high-T expansion before the sign problem is detectable in the 't Hooft regime.

  2. On the strong coupling limit of Yang-Mills matrix models

    hep-th 2026-07 conditional novelty 7.0 of 10

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    hep-th 2025-10 conditional novelty 7.0 of 10

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  4. 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.

  5. Simulating matrix models with tensor networks

    hep-th 2024-12 conditional novelty 6.0 of 10

    Tensor-network DMRG simulations of SU(2) and small-SU(N) bosonic and supersymmetric matrix models give convergent ground states and entanglement measures, with costs that appear to grow polynomially with the number of...

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