Question

Draw all the diagrams, connected or disconnected, representing terms in the configuration integral with four factors of $f_{ij}$. You should find 11 diagrams in total, of which five are connected.

Short answer

All the diagrams representing terms in configuration integral with four factors of $f_{ij}$ have been drawn.

Step-by-step solution

Step 1. Given information

Configuration integral:- The configuration integral is used in probability theory, information theory and dynamical systems, it's a generalization of the definition of a partition function in statistical mechanics.

Step 2. Drawing all the diagrams representing terms in configuration integral with four factors of fij 

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

(9)

(10)

(11)

Step 3. All the 5 connected  diagrams are

(1)

(2)

(3)

(4)

(5)