I will review recent progress on a resummation technique called “resurgence”, which has received much attention in the past 5 years in the context of weak coupling perturbative series in quantum field theory. I will begin with general expectation on perturbative series in quantum field theory and explain an idea of resurgence with some simple examples. Then I will ask whether we can apply resurgence to interesting quantum field theories such as QCD.

Although this is still open question, I will discuss what should be done to answer this question and introduce recent ideas, which may be useful for this problem.