Resizing the Conformal Window: A beta function Ansatz

Abstract

We propose an ansatz for the nonperturbative beta function of a generic non-supersymmetric Yang-Mills theory with or without fermions in an arbitrary representation of the gauge group. While our construction is similar to the recently proposed Ryttov-Sannino all order beta function, the essential difference is that it allows for the existence of an unstable ultraviolet fixed point in addition to the predicted Bank-Zaks -like infrared stable fixed point. Our beta function preserves all of the tested features with respect to the non-supersymmetric Yang-Mills theories. We predict the conformal window identifying the lower end of it as a merger of the infrared and ultraviolet fixed points.

Discussion on compatibility with the equivalence theorems; references added

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• The Conformal Window of deformed CFT's in the planar limit
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• Exceptional and Spinorial Conformal Windows
• Delineating the conformal window
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• Resummation in QFT with Meijer G-functions
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• Supersymmetric Extension of Technicolor & Fermion Mass Generation
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