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Eigenvalue distribution from bootstrap estimates

Samuel Kováčik and Katarína Magdolenová

  • Contact author: samuel.kovacik@fmph.uniba.sk
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Phys. Rev. D 112, 126021 – Published 23 December, 2025

DOI: https://doi.org/10.1103/m812-s3hr

Abstract

The bootstrap method has proven useful for a wide range of matrix models. Here, we show that the computed moments can be used to reconstruct the underlying eigenvalue probability distribution, which, in turn, allows us to compute the free energy of the model—a necessary quantity for identifying the thermodynamically preferred solution. We verify the method on the well-studied quartic potential model and then apply it to a recently analyzed asymmetric multitrace model. We consider an extended class of possible solutions and demonstrate that free-energy analysis reliably selects the correct one, making it an essential tool for studying models with a complex solution structure.

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Phys. Rev. D 112, 126021– Published 23 December, 2025
  • Received 29 September 2025
  • Accepted 28 October 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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