Manuscript I-B-VP-1@1 · I-B-VP-1-v1.tex · section · 6d700be9

A derivative-compatible prescription

Simultaneous extensions and the exact Ward repair › A derivative-compatible prescription · lines 661–686

I-B-VP-1@1#eq:Fhat, I-B-VP-1@1#eq:That, I-B-VP-1@1#eq:Jhat

Define

F_{L} = s U_{L},

(T_{L})^{A}_{B} (T_{L})^{i}_{j} = \frac{a}{4} δ^{A}_{B} Δ U_{L}, = \frac{b}{2} K_{ij} U_{L}, (T_{L})^{A}_{i} = (T_{L})^{i}_{A} = 0,

and

(J_{L})^{i} = - \frac{j}{2 α ^{2}} ϵ^{i}_{k} \partial_{k} U_{L}, (J_{L})^{A} = 0.

Displayed formulas in this passage

I-B-VP-1@1#eq:Fhat · line 664
$F_{L} = s U_{L},$
I-B-VP-1@1#eq:That · line 668
$(T_{L})^{A}_{B} (T_{L})^{i}_{j} = \frac{a}{4} δ^{A}_{B} Δ U_{L}, = \frac{b}{2} K_{ij} U_{L}, (T_{L})^{A}_{i} = (T_{L})^{i}_{A} = 0,$
I-B-VP-1@1#eq:Jhat · line 679
$(J_{L})^{i} = - \frac{j}{2 α ^{2}} ϵ^{i}_{k} \partial_{k} U_{L}, (J_{L})^{A} = 0.$