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| Main Authors: | , |
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| Format: | Recurso digital |
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Zenodo
2025
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| Online Access: | https://doi.org/10.5281/zenodo.17752507 |
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Table of Contents:
- Quantum Electrodynamics (QED) stands as one of the most precisely tested theories in physics, yet its perturbative formulation harbors a fundamental inconsistency: the Landau pole. This pole suggests that the electric charge diverges at an astronomically high, but finite, energy scale, implying a breakdown of the theory's consistency in the ultraviolet (UV) regime. While often dismissed as a mere artifact of perturbation theory or residing beyond experimentally relevant scales, the Landau pole represents a crucial theoretical challenge for the self-consistency and potential UV completeness of QED. This paper presents a first-principles resolution of the QED Landau pole by employing the Exact Renormalization Group (ERG) formalism. The ERG provides a non-perturbative framework that smoothly interpolates between microscopic and macroscopic scales, capturing quantum fluctuations beyond the reach of standard perturbation theory. By deriving and numerically solving the ERG flow equations for QED within a suitable truncation scheme, we demonstrate that the running coupling constant remains finite across all energy scales, thereby eliminating the Landau pole. Our findings suggest that QED, when treated non-perturbatively via the ERG, exhibits a well-behaved UV limit, potentially leading to a trivial or asymptotically safe theory, thus resolving a long-standing theoretical puzzle and reinforcing QED's foundational role in quantum field theory.