Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-05-09
Phys.Rev. D65 (2002) 105002
Physics
High Energy Physics
High Energy Physics - Theory
RevTex 7 Pages, No figure; Formulae for the production rate in very strong fields and references added; the final version acce
Scientific paper
10.1103/PhysRevD.65.105002
In the space-dependent gauge, each mode of the Klein-Gordon equation in a strong electric field takes the form of a time-independent Schr\"{o}dinger equation with a potential barrier. We propose that the single- and multi-instantons of quantum tunneling may be related with the single- and multi-pair production of bosons and the relative probability for the no-pair production is determined by the total tunneling probability via instantons. In the case of a uniform electric field, the instanton interpretation recovers exactly the well-known pair production rate for bosons and when the Pauli blocking is taken into account, it gives the correct fermion production rate. The instanton is used to calculate the pair production rate even in an inhomogeneous electric field. Furthermore, the instanton interpretation confirms the fact that bosons and fermions can not be produced by a static magnetic field only.
Kim Sang Pyo
Page Don N.
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