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X must assume a value strictly larger than one otherwise it is an abelian gauge theory. 36) which for N = 3 requires n f > 8. 3 Conformal Window from the Dual Magnetic Theory Asymptotic freedom of the newly found theory is dictated by the coefficient of the one-loop beta function: 50 2 Conformal Dynamics Interlude β0 = 11 2 (2n f − 5N ) − n f . 37) To this order in perturbation theory the gauge singlet states do not affect the magnetic quark sector and we can hence determine the number of flavors obtained by requiring the dual theory to be asymptotic free.

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