Pairs Emission in a Uniform Background Field: an Algebraic Approach

Details Pairs Emission in a Uniform Background Field: an Algebraic Approach Pairs Emission in a Uniform Background Field: an Algebraic Approach

2011-04-04

arxiv.org/abs/1104.0468v2

J. Phys. A: Math. Theor. 44 (2011) 305401 (25 pp)

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, no figures

Scientific paper

10.1088/1751-8113/44/30/305401

A fully algebraic general approach is developed to treat the pairs emission and absorption in the presence of some uniform external background field. In particular, it is shown that the pairs production and annihilation operators, together with the pairs number operator, do actually fulfill the SU(2) functional Lie algebra. As an example of application, the celebrated Schwinger formula is consistently and nicely recovered, within this novel approach, for a Dirac spinor field in the presence of a constant and homogeneous electric field in four spacetime dimensions.

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