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