Manuscript XVIII-A@2 · XVIII-A-v2.tex · assumption · 0f4336ec

Assumption: Constructed affine Ward problem

Exact normalization and Ward compatibility › Admissible changes must be complete · lines 1103–1122

XVIII-A@2#ass:ward, XVIII-A@2#eq:affineward

All contributions and extensions at the selected order have already been defined. The reference prescription has defect $a \in Y^{1}$ . Specified linear maps are

d_{1} : Y^{1} \to Y^{2}, L : C \to Y^{1},

and the exact counterterm law is

a (c) = a + L c .

Consistency has been proved:

d_{1} a = 0, d_{1} L = 0.

The spaces, maps, domains, and exhaustion of allowed changes are part of the application data.

Displayed formulas in this passage

XVIII-A@2#eq:affineward · line 1112
$a (c) = a + L c .$
unlabeled · line 1108
$d_{1} : Y^{1} \to Y^{2}, L : C \to Y^{1},$
unlabeled · line 1117
$d_{1} a = 0, d_{1} L = 0.$

Nearby in this section

section: Admissible changes must be complete
section: Admissible changes must be complete
theorem: Theorem: Exact Ward-normalization compatibility
remark: Remark: Exact versus approximate solvability