Derivation of the focusing ${\Phi }_1^6$ measure in the optimal mass regime from many-body quantum Gibbs states

Lin Lü, Phan Thành Nam, Rongchan Zhu

We derive the focusing ${\Phi }_1^6$ measure on the torus $\mathbb{T}$ as the high-temperature/mean-field limit of many-body quantum Gibbs states with an attractive three-body interactio…