Despite the successes of the theory, it is limited to the situation of a single molecule strongly coupled to the cavity. In most of the experiments, a large collection of molecules (N = 10 6 ∼ 10 12 ) are collectively coupled to the cavity, and the coupling strength per molecule is rather weak. In the future, we aim to generalize the current analytic rate constant expression to explain the resonance suppression and the collective effect, to build a unified theory for the VSC-modified rate constant.