A Resummable beta-Function for Massless QED
arXiv:0801.2462 · doi:10.1016/j.physletb.2008.03.006
Abstract
Within the set of schemes defined by generalized, manifestly gauge invariant exact renormalization groups for QED, it is argued that the beta-function in the four dimensional massless theory cannot possess any nonperturbative power corrections. Consequently, the perturbative expression for the beta-function must be resummable. This argument cannot be extended to flows of the other couplings or to the anomalous dimension of the fermions and so perturbation theory does not define a unique trajectory in the critical surface of the Gaussian fixed point. Thus, resummability of the beta-function is not inconsistent with the expectation that a non-trivial fixed point does not exist.
7 pages, 2 figs; v2 published version, some very minor rewording; v3 typo corrected
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