Exercise 18 : Practice in Drawing Feynman Diagrams for Interacting
Theories
Consider the Hamiltonian of interacting spinless electron gas
- Draw all the connected Feynman graphs for free energy to :
a) first order in the interaction.
b) second order in the interaction.
c) third order in the interaction.
- Draw all the one particle irreducible Feynman graphs for self energy to :
a) first order in the interaction.
b) second order in the interaction.
c) third order in the interaction.
- Draw all the Feynman graphs contributing to the two particle Green's function
to :
a) first order in the interaction.
b) second order in the interaction.
c) third order in the interaction.
- Draw all the Feynman graphs contributing to the two particle vertex function
to :
a) first order in the interaction.
b) second order in the interaction.
c) third order in the interaction.
Which one of these diagrams are two particle irreducible?