Thermal Bootstrap of Matrix Quantum Mechanics
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866908286360485888 |
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| author | Cho, Minjae Gabai, Barak Sandor, Joshua Yin, Xi |
| author_facet | Cho, Minjae Gabai, Barak Sandor, Joshua Yin, Xi |
| contents | We implement a bootstrap method that combines stationary state conditions, thermal inequalities, and semidefinite relaxations of matrix logarithm in the ungauged one-matrix quantum mechanics, at finite rank N as well as in the large N limit, and determine finite temperature observables that interpolate between available analytic results in the low and high temperature limits respectively. We also obtain bootstrap bounds on thermal phase transition as well as preliminary results in the ungauged two-matrix quantum mechanics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_04262 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Thermal Bootstrap of Matrix Quantum Mechanics Cho, Minjae Gabai, Barak Sandor, Joshua Yin, Xi High Energy Physics - Theory Strongly Correlated Electrons Optimization and Control We implement a bootstrap method that combines stationary state conditions, thermal inequalities, and semidefinite relaxations of matrix logarithm in the ungauged one-matrix quantum mechanics, at finite rank N as well as in the large N limit, and determine finite temperature observables that interpolate between available analytic results in the low and high temperature limits respectively. We also obtain bootstrap bounds on thermal phase transition as well as preliminary results in the ungauged two-matrix quantum mechanics. |
| title | Thermal Bootstrap of Matrix Quantum Mechanics |
| topic | High Energy Physics - Theory Strongly Correlated Electrons Optimization and Control |
| url | https://arxiv.org/abs/2410.04262 |