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

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

2002-09-12

arxiv.org/abs/hep-th/0209100v2

JHEP 0303 (2003) 020

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 10pp. v2: Comments and references added

Scientific paper

10.1088/1126-6708/2003/03/020

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.

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