Perturbative and non-perturbative infrared behavior of ...

B. Feynman rules
Φ
∇ α Φ
∇ β Φ
∇ α Φ
V
(a)
V
(e)
∇ α Φ
(i)
h
Φ
κ-1
∂ βα Φ
Φ
V Φ
(m)
h 3
∇ β Φ
V V
Φ
∂ βα ∇ α Φ
Φ
(b)
∇ α V
(f)
Φ
(j)
Φ
κ-1
h
Φ
Φ
∂ Γ - i/2 [Γ, Γ]
Φ
(n)
t i
Φ
∂ βα Φ
Φ
∂ βα Φ
α
Γα (c)
κ-1
∇ α ∇ α V
(g)
α
∂α Φ
(k)
∂ Γ - i/2 [Γ, Γ]
Φ
κ-1
h
∂ βα Φ
Φ
V Φ
(o)
Φ
t 1, t 3, t 4
Φ
Φ
∇ β Φ
α
Γα (d)
Φ
(h)
∇ α Φ
(l)
κ-1
h
h 3
∂ βα Φ
Φ
Φ
∇ βα ∇ α ∇ α V
Figure B.1: Vertices from the action (4.3.124) at most linear in the NAC parameter F αβ . The
(a,b,h,j)–vertices are order zero in ¯ θ, the (e)–vertex is proportional to ¯ θ ˙α whereas the remaining
vertices are all proportional to ¯ θ 2 .
186
Φ
(p)
t i
Φ