Ultraviolet fixed points in gauge and susy field theories in extra dimensions

2002/09/30 by D. I. Kazakov, Dimitri I Kazakov · 39 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Conformal map #Dimensionless quantity #Field (mathematics) #Fixed point #Gauge (firearms) #Gauge theory #Quantum Chromodynamics and Particle Interactions #Supersymmetry #Ultraviolet fixed point #Vertex (graph theory) #hep-th

paper · pdf · doi:10.1088/1126-6708/2003/03/020

published in Journal of High Energy Physics 2003(03), 020 (Springer Nature) · LaTeX, 10pp. v2: Comments and references added

arxiv created 2002/11/27 · openalex publication_date 2003/03/09 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We consider gauge field theories in D>4 following the Wilson RG approach and show that they possess the ultraviolet fixed points where the gauge coupling is dimensionless in any space-time dimension. At the fixed point the anomalous dimensions of the field and vertex operators are known exactly. These fixed points are nonperturbative and correspond to conformal invariant theories. The same phenomenon also happens in supersymmetric theories with the Yukawa type interactions.

Citations

• The renormalization group and the ε expansion
• Supersymmetries and their representations
• Critical Exponents in 3.99 Dimensions
• Exact Results for Supersymmetric Renormalization and the Supersymmetric Flavor Problem
• Five dimensional SUSY field theories, non-trivial fixed points and string dynamics
• Notes on theories with 16 supercharges

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