The Levy Institute has the working paper What’s Causing Accelerating Inflation: Pandemic or Policy Response?.

We conclude that there is little evidence that excess demand is the problem, although we agree that in the absence of the relief checks, recovery would have been sufficiently slow to minimize inflation pressure. We closely examine the main contributors to rising overall prices and conclude that tighter monetary policy would not be an effective way to reduce price pressures. We also cast doubt on the expectations theory of inflation control. We present evidence that suggests there is currently little danger that higher inflation will become entrenched. If anything, rate hikes now will make it harder for the economy to adjust to current realities. The potential for lots of pain with little gain is great. The best course of action is to tackle problems on the supply side.