Speaker
Description
In this talk, we revisit the large $N$ limit of bosonic $D$-matrix Yang-Mills integrals using two complementary bootstrap methods.
In the positivity bootstrap, we obtain bounds for $\langle \text{Tr} XX \rangle$ and $\langle \text{Tr} XXXX \rangle$ at various length cutoff $L_{\max}$. The precision of some $L_{\max}=12$ islands is comparable to that of Monte Carlo estimates. For a fixed $L_{\max}$, the allowed region also shrinks with $D$ and converges to the large $D$ expansion results. We further deduce the analytic expressions of various types of trajectories and eigenvalue distributions at large $D$. Based on these explicit formulas, we propose some ansatz for the analytic trajectory bootstrap and obtain accurate results for finite $D$.
