Planar quantum quenches: Computation of exact time-dependent correlation functions at large $N$

Understand

We study a quantum quench of an integrable quantum field theory in the planar infinite-$N$ limit.

• Unlike isovector-valued $O(N)$ models, matrix-valued field theories in the infinite-$N$ limit are not solvable by the Hartre-Fock approximation, and are nontrivial interacting theories.
• We study quenches with initial states that are color-charge neutral, correspond to integrability-preserving boundary conditions, and that lead to nontrivial correlation functions of operators.
• We compute exactly at infinite $N$, the time-dependent one- and two-point correlation functions of the energy-momentum tensor and renormalized field operator after this quench using known exact form factors.