Manuscript X-I-ST@1 · X-I-ST.tex · definition · 9745fd40

Definition: The selected deformation

Section A: the compact classical interaction · lines 1002–1020

X-I-ST@1#def:deformation, X-I-ST@1#eq:newaction

With $a$ fixed by (eq:a), define

V_{a} = \frac{1}{4 !} \int a ϕ^{4} d^{4} x, S_{λ}^{[3]} = S_{ref}^{[3]} + λ κ^{3} V_{a},

over

R_{3} = R [λ] [κ] / (κ^{4}) .

The full classical BV differential is

Q_{λ}^{[3]} F = (S_{λ}^{[3]}, F) .

The field differential is denoted $s$ , not $Q$ . The latter also contains the antifield equations.

Displayed formulas in this passage

X-I-ST@1#eq:newaction · line 1005
$V_{a} = \frac{1}{4 !} \int a ϕ^{4} d^{4} x, S_{λ}^{[3]} = S_{ref}^{[3]} + λ κ^{3} V_{a},$
unlabeled · line 1011
$R_{3} = R [λ] [κ] / (κ^{4}) .$
unlabeled · line 1015
$Q_{λ}^{[3]} F = (S_{λ}^{[3]}, F) .$