English

Ultraviolet Fixed Points in Gauge and SUSY Field Theories in Extra Dimensions

High Energy Physics - Theory 2009-11-07 v2

Abstract

We consider gauge field theories in D>4D>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.

Keywords

Cite

@article{arxiv.hep-th/0209100,
  title  = {Ultraviolet Fixed Points in Gauge and SUSY Field Theories in Extra Dimensions},
  author = {D. I. Kazakov},
  journal= {arXiv preprint arXiv:hep-th/0209100},
  year   = {2009}
}

Comments

LaTeX, 10pp. v2: Comments and references added