TY - JOUR

T1 - Loop diagrams in the kinetic theory of waves

AU - Rosenhaus, Vladimir

AU - Schubring, Daniel

AU - Shuvo, Md Shaikot Jahan

AU - Smolkin, Michael

N1 - Publisher Copyright:
© The Author(s) 2024.

PY - 2024/6

Y1 - 2024/6

N2 - 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.

AB - 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.

KW - Finite Temperature or Finite Density

KW - Non-Equilibrium Field Theory

KW - Thermal Field Theory

UR - http://www.scopus.com/inward/record.url?scp=85195513687&partnerID=8YFLogxK

U2 - 10.1007/JHEP06(2024)025

DO - 10.1007/JHEP06(2024)025

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AN - SCOPUS:85195513687

SN - 1126-6708

VL - 2024

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 6

M1 - 25

ER -