The Boltzmann Equation Is a Renormalization Group Equation

This is the authors' abstract. We don't add key points for this paper.

It is known that renormalization group (RG) approaches to partial differential equations give reduced equations, e.g., amplitude equations, as renormalization group equations. Therefore, equations governing slow or global behaviors ought to be derived RG-theoretically. Kinetic equations are slow motion equations from the microscopic dynamics point of view. We demonstrate that kinetic equations are RG equations as expected.