Ambiguities in QED: Renormalons versus Triviality
نویسنده
چکیده
We point out that, contrary to what is believed to hold for QCD, renormalons are genuine in QED; i.e. the ambiguities which come with them do not require cancellation by hypothetical non-perturbative contributions. They are just the ambiguities characteristic of any trivial —and thus effective— theory. If QED remained an isolated theory up to an energy close to its triviality scale, these ambiguities would surely hint at new physics. This not being so, the renormalon ambiguities in QED lead to no new physics, not even to non-perturbative contributions within QED itself. UB-ECM-PF-96/8 April 1996 [email protected] [email protected]
منابع مشابه
Renormalons Beyond One-Loop
Higher order renormalons beyond the chain of one-loop bubbles are discussed. A perturbation method for the infrared renormalon residue is found. The large order behavior of the current-current correlation function due to the first infrared renormalon is determined in both QED and QCD to the first three orders.
متن کاملRenormalons in effective field theories.
We investigate the high-order behavior of perturbative matching conditions in effective field theories. These series are typically badly divergent, and are not Borel summable due to infrared and ultraviolet renormalons which introduce ambiguities in defining the sum of the series. We argue that, when treated consistently, there is no physical significance to these ambiguities. Although nonpertu...
متن کاملQED: Chiral transition and the issue of triviality
I give a review and progress report on studies of lattice QED. I emphasize analytical results and methods that are applied in data analysis. Also, I derive some bounds for the critical exponents and establish their connection with scaling violations. Triviality, as realized in φ theory, is ruled out on theoretical grounds. I show that the present data, if analyzed correctly, all lead to the sam...
متن کاملRenormalon disappearance in Borel sum of the 1 / N expansion of the Gross - Neveu model mass gap
The exact mass gap of the O(N) Gross-Neveu model is known, for arbitrary N , from non-perturbative methods. However, a “naive” perturbative expansion of the pole mass exhibits an infinite set of infrared renormalons at order 1/N , formally similar to the QCD heavy quark pole mass renormalons, potentially leading to large O(Λ) perturbative ambiguities. We examine the precise vanishing mechanism ...
متن کاملIn Noncompact Lattice Qed with Light Fermions
In the framework of noncompact lattice QED with light fermions, we derive the functional dependence of the average energy per plaquette on the bare parameters using block-spin Renormalization Group arguments and assuming that the renormalized coupling vanishes. Our numerical results for this quantity in 8 4 and 10 4 lattices show evidence for triviality in the weak coupling phase and point to a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1996