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

@inproceedings{MPFry2000MassZI, title={Mass zeros in the one-loop effective actions of QED in 1+1 and 3+1 dimensions}, author={M.P.Fry}, year={2000} }

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 Φ satisﬁes 0 < | e Φ | < 2 π . For QED 4 the mass-shell renormalized one-loop eﬀective action vanishes for at least one value of the fermion…

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