6533b828fe1ef96bd1289128

RESEARCH PRODUCT

Multiparticle correlations in the Schwinger mechanism

Kenji FukushimaTuomas LappiTuomas LappiFrançois Gelis

subject

PhysicsNuclear and High Energy PhysicsDistribution (number theory)010308 nuclear & particles physicsMode (statistics)Scalar (physics)Creation and annihilation operatorsFOS: Physical sciences01 natural sciencesBogoliubov transformationHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)Correlation functionQuantum electrodynamicsElectric field0103 physical sciencesGauge theory010306 general physicsMathematical physics

description

We discuss the Schwinger mechanism in scalar QED and derive the multiplicity distribution of particles created under an external electric field using the LSZ reduction formula. Assuming that the electric field is spatially homogeneous, we find that the particles of different momenta are produced independently, and that the multiplicity distribution in one mode follows a Bose-Einstein distribution. We confirm the consistency of our results with an intuitive derivation by means of the Bogoliubov transformation on creation and annihilation operators. Finally we revisit a known solvable example of time-dependent electric fields to present exact and explicit expressions for demonstration.

https://dx.doi.org/10.48550/arxiv.0907.4793