For the Potts model, this quantity is identical to the dichromatic polynomial of graph theory.
For the Potts model, this quantity is identical to the dichromatic polynomial of graph theory. In quantum field theory, this term refers to a functional integral involving the action functional which determines the correlation functions. In quantum mechanics, it can be defined as the trace of the exponential of the negative of the Hamiltonian over Boltzmann's constant times the temperature. In classical statistical mechanics, it can be expressed as the exponential of the negative of the Helmholtz free energy over Boltzmann's constant times the temperature. In number theory, it is the number of ways of writing an integer as a sum of natural numbers, ignoring order. For ten points, name this quantity, defined in statistical mechanics as the sum of the Boltzmann factors of a system.
For the Potts model, this quantity is identical to the dichromatic polynomial of graph theory.
Partition function