A Cusp in QED at g=2
arXiv:1205.1835 · doi:10.1103/PhysRevD.107.076002
Abstract
We explore nonperturbative properties of QED allowing a gyromagnetic ratio . We study the effective action for an arbitrarily strong constant and homogeneous field. Using the external field method, we find a cusp as a function of the gyromagnetic factor in: a) The QED -renormalization group coefficient; b) A subclass of light-light scattering coefficients obtained in the long wavelength limit expansion. We recognize possibility of asymptotic freedom in an Abelian theory for certain domains of .
1+10+2 pages PTEP format: this "10th anniversary" v4 updates the contents, explains follow-up work (old update comments: v2 includes discussion of periodicity in g of Landau solutions v3 corects typos and adds explanations, v4 extends discussion adds recent developments and relation to experiment)
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