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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.21007 |
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| _version_ | 1866909796892934144 |
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| author | Lin, Henry W. Zheng, Zechuan |
| author_facet | Lin, Henry W. Zheng, Zechuan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_21007 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | High-precision bootstrap of multi-matrix quantum mechanics Lin, Henry W. Zheng, Zechuan High Energy Physics - Theory High Energy Physics - Lattice 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. |
| title | High-precision bootstrap of multi-matrix quantum mechanics |
| topic | High Energy Physics - Theory High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2507.21007 |