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DOE OSTI · 21409537

Resizing the conformal window: A {beta}-function ansatz

Antipin, O·Tuominen, K
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Abstract

We propose an ansatz for the nonperturbative beta-function of a generic nonsupersymmetric 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 Banks-Zaks-like infrared stable fixed point. Our beta-function preserves all of the tested features with respect to the nonsupersymmetric Yang-Mills theories. We predict the conformal window identifying the lower end of it as a merger of the infrared and ultraviolet fixed points.

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDSELECTROMAGNETIC RADIATIONFERMIONSGAUGE INVARIANCEINVARIANCE PRINCIPLESPERTURBATION THEORYRADIATIONSSIMULATIONULTRAVIOLET RADIATIONYANG-MILLS THEORY

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Antipin, O, Tuominen, K. 2010-04-01. Resizing the conformal window: A {beta}-function ansatz. https://doi.org/10.1103/physrevd.81.076011

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