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Scaling laws near the conformal window of many-flavor QCD

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Abstract

We derive universal scaling laws for physical observables such as the critical temperature, the chiral condensate, and the pion decay constant as a function of the flavor number near the conformal window of many-flavor QCD in the chiral limit. We argue on general grounds that the associated critical exponents are all interrelated and can be determined from the critical exponent of the running gauge coupling at the Caswell-Banks-Zaks infrared fixed point. We illustrate our findings with the aid of nonperturbative functional Renormalization Group (RG) calculations and low-energy QCD models.

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  1. Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, D-07743, Jena, Germany

    Jens Braun & Holger Gies

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  1. Jens Braun
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Correspondence to Jens Braun.

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Braun, J., Gies, H. Scaling laws near the conformal window of many-flavor QCD. J. High Energ. Phys. 2010, 60 (2010). https://doi.org/10.1007/JHEP05(2010)060

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