Thermal bootstrap of matrix quantum mechanics
A bstract 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.
Authors
- Xi Yin (ORCID: https://orcid.org/0000-0002-7519-1978)
- Barak Gabai (ORCID: https://orcid.org/0000-0002-6374-642X)
- Joshua Sandor (ORCID: https://orcid.org/0000-0002-8672-9091)
- Minjae Cho (ORCID: https://orcid.org/0009-0001-0093-4116)
Institutions
- Princeton University (US)
- Harvard University Press (US)
- University of Chicago (US)
Publication Details
- Journal
- Journal of High Energy Physics
- Published
- 2025-04-23
- DOI
- https://doi.org/10.1007/jhep04(2025)186
- Citations
- 8
- Primary Topic
- Quantum Mechanics and Applications
- Type
- article
- Field-Weighted Citation Impact
- 9.97
Funders
- National Science Foundation
- U.S. Department of Energy
- Harvard University
- Kavli Institute for Theoretical Physics, University of California, Santa Barbara