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On the basis of the master‐graph formulation of quantum statistics in the preceding paper, the properties of photons in a nonrelativistic, multicomponent, fully ionized gas in thermal equilibrium are investigated. The photon self‐energy is calculated by summation, to all orders, of selected diagrams, and it is proposed that the solution is formally exact. Next, the photon momentum distribution is calculated, in the high‐temperature, low‐density limit, to second order in the fine‐structure constant. Several nonperturbative results are obtained which are significant even in lowest order. The lowest‐order results have an interesting relation to the pair‐Hamiltonian approximation and the Bogoliubov transformation, and this relation is discussed. Finally, the counterterm technique of the master‐graph theory is employed to accomplish mass renormalization through second order in the fine‐structure constant. The investigation is valid for particle densities ρ ≪ 1024 particles/cm3 and for absolute temperatures T ≤...

Microscopic Theory of a Multicomponent System of Charged and Neutral Particles. II. Investigation of Properties of Photons