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We study the interaction of electrons in graphene with the quantizedelectromagnetic field in the presence of an applied uniform electric fieldusing the Dirac model of graphene. Electronic states are represented by exactsolutions of the Dirac equation in the electric background, and amplitudes offirst-order Feynman diagrams describing the interaction with the photon fieldare calculated for massive Dirac particles in both valleys. Photon emissionprobabilities from a single electron and from a many-electron system at thecharge neutrality point are derived, including the angular and frequencydependence, and several limiting cases are analyzed. The pattern of photonemission at the Dirac point in a strong field is determined by an interplaybetween the nonperturbative creation of electron-hole pairs and spontaneousemission, allowing for the possibility of observing the Schwinger effect inmeasurements of the radiation emitted by pristine graphene under DC voltage.

Radiation from electrons in graphene in strong electric field