Article Dans Une Revue Physical Review Letters Année : 2026

High-precision bootstrap of multi-matrix quantum mechanics

Henry W Lin
  • Fonction : Auteur
Zechuan Zheng
  • Fonction : Auteur
  • PersonId : 1401408

Résumé

We consider matrix quantum mechanics with multiple bosonic matrices, including those obtained from dimensional reduction of Yang-Mills theories. Using the matrix bootstrap, we study simple observables like $\langle \mathop{tr} X^2 \rangle$ in the confining phase of the theory in the infinite $N$ limit. By leveraging the symmetries of these models and using non-linear relaxation, we consider constraints up to level 14, e.g., constraints from traces of words of length $\le 14$. Our results are more precise than large $N$, continuum extrapolations of lattice Monte Carlo simulations, including an estimate of certain simple observables up to 8 significant digits.

Dates et versions

hal-05201340 , version 1 (06-08-2025)

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Henry W Lin, Zechuan Zheng. High-precision bootstrap of multi-matrix quantum mechanics. Physical Review Letters, 2026, 136 (18), pp.181603. ⟨10.1103/cyq8-4sd7⟩. ⟨hal-05201340⟩
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