We consider spontaneous thermalization of free photon field (in a
vacuum) due to self-interaction, mediated by the virtual
e−e+ field at ultra-high concentrations of the
electromagnetic energy. That nonlinear, attractive, short-range
interaction between photons triggers spontaneous evolution of the initial,
low-frequency spectrum toward the maximum-entropy spectral distribution
peaking in the gamma range of frequencies. Collimation and the total power
of the photon beam (pulse) are hardly affected by the process of
spontaneous thermalization. We estimate the threshold intensity that
triggers spectral evolution of the photon field, the necessary power of
the laser beam, the minimum size of the interaction region, parameters of
the fully thermalized photon field, and discuss the near-threshold
behavior of the electromagnetic field. Possible applications of
thermalized photon beams are suggested, for example, they can serve as the
pump field to attain gamma-lasing or facilitate ignition in the fusion
pellet.