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<p>This paper is aimed at improving thermal bootstrapping methods for matrix quantum mechanics. The thermal energies of the large-<i>N</i> one-matrix anharmonic oscillator and large-<i>N</i> two-matrix anharmonic oscillator are 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<i>.</i>001% of the physical value and the first estimation from symmetry and self-consistency equations alone of the first long string coupling coefficient.</p>

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Thermal bootstrap of large-N matrix models via conic optimization

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月23日

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  • Sophia M. Adams

摘要

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 are 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.