Playground 14
Loop Diagrams and Renormalization Flow
Compare tree and loop diagrams, follow loop momentum into the ultraviolet, then see how bare parameters plus corrections become the measured, scale-dependent quantities.
Animation Controls
Current build step
1. Tree and loop diagrams are compared
0%
Bare
0.48
Correction
0.49
Measured
0.97
Loop Flow Build
Where the problem comes from
Tree graphs have fixed kinematics, but loop graphs integrate over internal momentum. The ultraviolet tail is where the divergence pressure comes from.
Renormalized parameter
The bare parameter is not the directly observed one. Counterterms and corrections are organized so the measured quantity stays finite.
Bare
0.48
Correction
+ 0.49
Measured
= 0.97
Running coupling
coupling at scale μ1.00