Mass zeros in the one-loop effective actions of QED in 1+1 and 3+1 dimensions

Details Mass zeros in the one-loop effective actions of QED in 1+1 and 3+1 dimensions Mass zeros in the one-loop effective actions of QED in 1+1 and 3+1 dimensions

2000-10-02

arxiv.org/abs/hep-th/0010008v3

Phys.Rev.D62:125007,2000; Erratum-ibid.D72:109903,2005

Physics

High Energy Physics

High Energy Physics - Theory

Section IV has been amended

Scientific paper

10.1103/PhysRevD.62.125007

It is known that the one-loop effective action of ${QED}_2$ is a quadratic in the field strength when the fermion mass is zero: all potential higher order contributions beyond second order vanish. For nonzero fermion mass it is shown that this behavior persists for a general class of fields for at least one value of the fermion mass when the external field's flux $\Phi$ satisfies $0<|e\Phi|<2\pi$. For ${QED}_4$ the mass-shell renormalized one-loop effective action vanishes for at least one value of the fermion mass for a class of smooth, square integrable background gauge fields provided a plausible zero-mass limit exists.

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