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• W3100135692 abstract "We consider massless Quantum Electrodynamics in momentum scheme and carry forward an approach based on Dyson-Schwinger equations to approximate both the $beta$-function and the renormalized photon self-energy [Y11]. Starting from the Callan-Symanzik equation, we derive a renormalization group (RG) recursion identity which implies a non-linear ODE for the anomalous dimension and extract a sufficient but not necessary criterion for the existence of a Landau pole. This criterion implies a necessary condition for QED to have no such pole. Solving the differential equation exactly for a toy model case, we integrate the corresponding RG equation for the running coupling and find that even though the $beta$-function entails a Landau pole it exhibits a flat contribution capable of decreasing its growth, in other cases possibly to the extent that such a pole is avoided altogether. Finally, by applying the recursion identity, we compute the photon propagator and investigate the effect of flat contributions on both spacelike and timelike photons." @default.
• W3100135692 created "2020-11-23" @default.
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• W3100135692 date "2014-05-01" @default.
• W3100135692 modified "2023-09-25" @default.
• W3100135692 title "Avoidance of a Landau pole by flat contributions in QED" @default.
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• W3100135692 doi "https://doi.org/10.1016/j.aop.2014.02.019" @default.
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