We study universal behavior in the moving phase of a generic system of motile particles with alignment interactions in the incompressible limit for spatial dimensions d>2. Using a dynamical renormalization group analysis, we obtain the exact dynamic, roughness, and anisotropy exponents that describe the scaling behavior of such incompressible systems. This is the first time a compelling argument has been given for the exact values of the anomalous scaling exponents of a flock moving through an isotropic medium in d>2.
@article{arxiv.1806.02548,
title = {Incompressible polar active fluids in the moving phase},
author = {Leiming Chen and Chiu Fan Lee and John Toner},
journal= {arXiv preprint arXiv:1806.02548},
year = {2018}
}