Journal
PHYSICS LETTERS B
Volume 662, Issue 2, Pages 237-243Publisher
ELSEVIER
DOI: 10.1016/j.physletb.2008.03.006
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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 P-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 P-function is not inconsistent with the expectation that a non-trivial fixed point does not exist. (C) 2008 Elsevier B.V. All rights reserved.
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