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Effective Coupling Constant in Renormalization Group for the Quantum Electrodynamics

2007/10/08 by Hirohisa Ishikawa, Ishikawa, Hirohisa, Keiji Watanabe +1
Mathematics · Physics and Astronomy · #Atomic and Molecular Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Quantum and electron transport phenomena #Spectral Theory in Mathematical Physics #hep-ph

paper · pdf · doi:10.48550/arxiv.0710.1457

6 pages, 4 figures

arxiv created 2007/10/08 · openalex publication_date 2007/10/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Effective coupling constant in quantum electrodynamics is investigated. A pole appears in the effective coupling constant for the space-like momentum if it is calculated by perturbation. The pole can be eliminated by the analytic regularization. For QED the effective coupling constant is written in terms of the scale parameter, Λ, having the dimension of mass as in the case of QCD. Λ is determined by comparing with the experimental data. The calculated result agrees with experiment with Λ≈ 1.64× 1047 GeV; it is very large but much smaller than the mass scale of Landau ghost.

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