Schwinger Pair Production at Finite Temperature in Scalar QED

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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RevTex 10 pages, no figure; replaced by the version accepted in Phys. Rev. D; references corrected

Scientific paper

10.1103/PhysRevD.76.125002

In scalar QED we study the Schwinger pair production from an initial ensemble of charged bosons when an electric field is turned on for a finite period together with or without a constant magnetic field. The scalar QED Hamiltonian depends on time through the electric field, which causes the initial ensemble of bosons to evolve out of equilibrium. Using the Liouville-von Neumann method for the density operator and quantum states for each momentum mode, we calculate the Schwinger pair-production rate at finite temperature, which is the pair-production rate from the vacuum times a thermal factor of the Bose-Einstein distribution.

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