Thermal Bootstrap of Matrix Quantum Mechanics
High Energy Physics - Theory
2025-03-28 v3 Strongly Correlated Electrons
Optimization and Control
Abstract
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.
Cite
@article{arxiv.2410.04262,
title = {Thermal Bootstrap of Matrix Quantum Mechanics},
author = {Minjae Cho and Barak Gabai and Joshua Sandor and Xi Yin},
journal= {arXiv preprint arXiv:2410.04262},
year = {2025}
}
Comments
31 pages, 8 figures, v2: references added, v3: a reference added