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arXiv · 2311.00891

Everlasting interaction: polarization summation without a Landau pole

Stefan Evans·Johann Rafelski
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Abstract

We propose an external field approach to evaluating effective action allowing the interaction to act everywhere at all times (everlasting). Requiring that the asymptotic gauge fields are always-interacting, we implement displacement fields encoding polarization corrections into the derivation of effective action. The result is a novel polarization summation for one-cut reducible loop diagrams, which can be applied to two cases: transient quasi-constant electromagnetic fields, and everlasting interactions. In the first case, a perturbative expansion of our result recovers the Schwinger-Dyson reducible diagram series with a Landau pole. The everlasting summation evaluated in nonperturbative fashion removes the Landau pole, providing a new avenue for modeling strongly interacting theories.

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Stefan Evans, Johann Rafelski. 2023-11-01. Everlasting interaction: polarization summation without a Landau pole. https://doi.org/10.1103/physrevd.110.036012

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