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Bibliographic Details
Main Author: Adams, Sophia
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2511.01209
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author Adams, Sophia
author_facet Adams, Sophia
contents This paper is aimed at improving thermal bootstrapping methods for matrix quantum mechanics. The thermal energies of the large-$N$ one-matrix anharmonic oscillator and large-$N$ two-matrix anharmonic oscillator were bounded without logarithmic relaxation using the Quantum Information Conic Solver. For the one-matrix model, which can be interpreted using an effective theory of ``long strings'' in the low temperature limit, stricter bootstrap bounds yield a value of the first long string excited energy within $0.001\%$ of the physical value and the first estimation from symmetry and self-consistency equations alone of the first long string coupling coefficient.
format Preprint
id arxiv_https___arxiv_org_abs_2511_01209
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Thermal Bootstrap of Large-N Matrix Models via Conic Optimization
Adams, Sophia
High Energy Physics - Theory
This paper is aimed at improving thermal bootstrapping methods for matrix quantum mechanics. The thermal energies of the large-$N$ one-matrix anharmonic oscillator and large-$N$ two-matrix anharmonic oscillator were bounded without logarithmic relaxation using the Quantum Information Conic Solver. For the one-matrix model, which can be interpreted using an effective theory of ``long strings'' in the low temperature limit, stricter bootstrap bounds yield a value of the first long string excited energy within $0.001\%$ of the physical value and the first estimation from symmetry and self-consistency equations alone of the first long string coupling coefficient.
title Thermal Bootstrap of Large-N Matrix Models via Conic Optimization
topic High Energy Physics - Theory
url https://arxiv.org/abs/2511.01209