Loop diagrams in the kinetic theory of waves

Vladimir Rosenhaus*, Daniel Schubring, Md Shaikot Jahan Shuvo, Michael Smolkin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Recent work has given a systematic way for studying the kinetics of classical weakly interacting waves beyond leading order, having analogies with renormalization in quantum field theory. An important context is weak wave turbulence, occurring for waves which are small in magnitude and weakly interacting, such as those on the surface of the ocean. Here we continue the work of perturbatively computing correlation functions and the kinetic equation in this far-from-equilibrium state. In particular, we obtain the next-to-leading-order kinetic equation for waves with a cubic interaction. Our main result is a simple graphical prescription for the terms in the kinetic equation, at any order in the nonlinearity.

Original languageEnglish
Article number25
JournalJournal of High Energy Physics
Issue number6
StatePublished - Jun 2024

Bibliographical note

Publisher Copyright:
© The Author(s) 2024.


  • Finite Temperature or Finite Density
  • Non-Equilibrium Field Theory
  • Thermal Field Theory


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