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Scaling laws near the conformal window of many-flavor QCD

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arxiv 0912.4168 v2 pith:GPESDTJW submitted 2009-12-21 hep-ph

classification hep-ph
keywords criticalchiralconformallawsmany-flavornearscalingwindow
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The order of the chiral phase transition in massless many-flavour lattice QCD

    hep-lat 2025-01 conditional novelty 5.0 of 10

    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 t...

  2. To Break or Not to Break: A Review of a No-Go Theorem on Chiral Symmetry Breaking in QCD-like Theories

    hep-ph 2025-09 conditional novelty 2.0 of 10

    A review showing that if a QCD-like theory with enough massless flavors is fully color-screened in the infrared, then chiral symmetry must be spontaneously broken.

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