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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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2025 1

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  • The order of the chiral phase transition in massless many-flavour lattice QCD hep-lat · 2025-01-31 · conditional · none · ref 19 · internal anchor

    Lattice QCD simulations with up to seven flavors indicate that the first-order chiral transition seen on coarse lattices is a cutoff artifact, so the continuum chiral transition is second-order for all flavors up to the conformal window.