Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-07-01
Phys.Rev.Lett.105:232002,2010
Physics
High Energy Physics
High Energy Physics - Phenomenology
RevTeX 4, 4 pages, two columns. Version to match the published version in Phys. Rev. Lett
Scientific paper
10.1103/PhysRevLett.105.232002
We propose a direct test of the existence of gauge duals for nonsupersymmetric asymptotically free gauge theories developing an infrared fixed point by computing the S-parameter in the electric and dual magnetic description. In particular we show that at the lower bound of the conformal window the magnetic S-parameter, i.e. the one determined via the dual magnetic gauge theory, assumes a simple expression in terms of the elementary magnetic degrees of freedom. The results further support our recent conjecture of the existence of a universal lower bound on the S parameter and indicates that it is an ideal operator for counting the active physical degrees of freedom within the conformal window. Our results can be directly used to unveil possible four dimensional gauge duals and constitute the first explicit computation of a nonperturbative quantity, in the electric variables, via nonsupersymmetric gauge duality.
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