Question

What is the recursive relation for three-particle Green's functions?

Answer 1

Hey mate ^_^

The one-particle GF satisfies a recursive equation also known as the Dyson equation, where the irreducible kernel is the so-called self-energy ΣΣ....

To approach ΣΣone often selects a certain set of skeleton diagrams which are generated from differentiating some Luttinger-Ward diagrams: Σ=δΦ/δGΣ=δΦ/δG.....

#Be Brainly❤️

Answer 2

Hello mate here is your answer.

The one-particle GF satisfies a recursive equation also known as the Dyson equation, where the irreducible kernel is the so-called self-energy ΣΣ. To approach ΣΣ one often selects a certain set of skeleton diagrams which are generated from differentiating some Luttinger-Ward diagrams: Σ=δΦ/δGΣ=δΦ/δG.

Differentiating ΦΦ twice one obtains the two-particle irreducible kernel K=δΣ/δGK=δΣ/δG, which has four legs (indices). KK is the kernel of the recursive equation (Bethe-Salpeter) for two-particle GF's.

Hope it helps you.