Rosten, Oliver J. (2008) A resummable β-function for massless QED. Physics Letters B, 662 (2). pp. 237-243. ISSN 03702693
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Abstract
Within the set of schemes defined by generalized, manifestly gauge invariant exact renormalization groups for QED, it is argued that the β-function in the four dimensional massless theory cannot possess any nonperturbative power corrections. Consequently, the perturbative expression for the β-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 β-function is not inconsistent with the expectation that a non-trivial fixed point does not exist.
| Item Type: | Article |
|---|---|
| Divisions: | School of Theoretical Physics > Preprints |
| Date Deposited: | 05 Oct 2017 19:23 |
| Last Modified: | 18 Dec 2022 02:42 |
| URI: | https://dair.dias.ie/id/eprint/217 |
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