On the Differential equations of the characters for the Renormalization group
Abstract
Owing to the analogy between the Connes-Kreimer theory of the renormalization and the integrable systems, we derive the differential equations of the unit mass for the renormalized character φ+ and the counter term φ-. We give another proof for the scattering type formula of φ-. The differential equation of the counter term of coordinate on P1 is also given. The hierarchy of the renormalization groups is defined as the integrable systems.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.