Field Theory in Extra Dimensions

Details Field Theory in Extra Dimensions Field Theory in Extra Dimensions

2003-11-22

arxiv.org/abs/hep-th/0311211v1

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 9 pages, 1 eps figure; Talk given at the conference "Supersymmetries and Quantum Symmetries", Dubna, July 2003

Scientific paper

We analyze the possibility to construct a self-consistent gauge field theory in $D>4$. We first look for the cancellation of the UV divergences in SUSY theories. Then, following the Wilson RG approach, we study the RG equation for the gauge coupling in perturbative and nonperturbative regimes. In the first case the power low running is discussed. In the second case it is shown that there exist the ultraviolet fixed point where the gauge coupling is dimensionless in any space-time dimension. This fixed point is nonperturbative and corresponds to scale invariant theory. The same phenomenon also happens in supersymmetric theory in D=6.

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