Document Type
Article
Publication Date
2026
Keywords
Renormalization Group, less than leading order, Navier-Stokes equation, Yang-Mills equation
Abstract
A maximum entropy principle is assumed.
Scaling laws, accurate to all orders, are constructed for Navier-Stokes and Euler fluids and for quantum Yang-Mills fields.
Conventional renormalization group scaling is accurate to all orders in a large time asymptotic limit. At intermediate times, corrections to conventional scaling at less than leading order describe the expected timing for a finite sequence of blowups.
The extension to quantum general relativity is indicated.
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Recommended Citation
Glimm, James, "Scaling Laws" (2026). Department of Applied Mathematics & Statistics Faculty Publications. 20.
https://commons.library.stonybrook.edu/ams-articles/20