Super-Renormalizablity of Yang-Mills Models in the Third Order of Perturbation Theory

2013/01/16 by Dan-Radu Grigore, Grigore, Dan-Radu · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Chromodynamics and Particle Interactions #hep-th #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1301.3664

37 pages. arXiv admin note: substantial text overlap with arXiv:1301.2893, arXiv:0711.3986, arXiv:0805.3438

arxiv created 2013/01/16 · openalex publication_date 2013/01/16 · arxiv updated 2013/01/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We continue the investigation from a previous paper concerning the super-renormalizablity of gauge models going to the third order of the perturbation theory. Here we consider only the Yang-Mills case and we prove that this property is true iff some supplementary restrictions are imposed on the constants appearing in the interaction Lagrangian. The usual standard model does not verify these restrictions, but there is hope that such models do exist and they are in agreement with the phenomenology. We consider here only the even-parity contributions.

Citations

• On the Super-Renormalizablity of Gauge Models in the Causal Approach
• Cohomological Aspects of Gauge Invariance in the Causal Approach
• Perturbative Gravity in the Causal Approach

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