Schematic form of the linearized flow of the , , perturbations; , .
Flow pattern in the – plane with a sharp mode cut-off. The arrows point in the direction of the coarse graining, i.e. of decreasing . (From .)
Trajectory of the linearized flow equation obtained from the -truncation for . In the right panel we depict the eigendirections and the “box” to which the trajectory is confined. (From .)
, , and as functions of for (left panel) and as a function of for (right panel), using the family of exponential shape functions (4.51). (From .)
and (left panel) and (right panel) as functions of , using the family of exponential shape functions (4.51).
Schematic view of the action flow in the vicinity of a (UV) fixed point. Shown is a typical flow line (black) and a renormalized trajectory (red) emanating from the fixed point. The arrows on the flow lines give the direction of the coarse graining, i.e. of decreasing or increasing .
© Max Planck Society and the author(s)