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Two-loop Yang–Mills theory in the world-line formalism and an Euler–Heisenberg type action

2000/03/09 by Haru-Tada Sato, Michael G. Schmidt, Claus Zahlten · 28 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Effective action #Euler's formula #Formalism (music) #Gluon #Mathematical analysis #Mathematical physics #Mathematics #Moduli #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #hep-ph #hep-th

paper · pdf · doi:10.1016/s0550-3213(00)00220-0

published in Nuclear Physics B 579(1-2), 492-524 (Elsevier BV) · 34 pages, 3 figures

arxiv created 2000/03/09 · openalex publication_date 2000/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Within the framework of the world-line formalism we write down in detail a two-loop Euler-Heisenberg type action for gluon loops in Yang-Mills theory and discuss its divergence structure. We exactly perform all the world-line moduli integrals at two loops by inserting a mass parameter, and then extract divergent coefficients to be renormalized.

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