Scaling laws near the conformal window of many-flavor QCD

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.

18 pages, 4 figures, references added and discussion expanded (matches JHEP version)

References in corpus (11)

• Exact evolution equation for the effective potential
• Infrared Properties of QCD from Dyson-Schwinger equations
• Chiral phase boundary of QCD at finite temperature
• The physics of eight flavours
• Nearly conformal gauge theories in finite volume
• Conformality or confinement: (IR)relevance of topological excitations
• Nonrelativistic inverse square potential, scale anomaly, and complex extension
• The Conformal Window from the Worldline Formalism
• Conformality or confinement (II): One-flavor CFTs and mixed-representation QCD
• Renormalization group for phases with broken discrete symmetry near quantum critical points
• Higher Representations Duals

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• On the scaling behavior of the chiral phase transition in QCD in finite and infinite volume
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• Conformal Window of Gauge Theories with Four-Fermion Interactions and Ideal Walking
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• Running coupling in the conformal window of large-Nf QCD
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• W' and Z' limits for Minimal Walking Technicolor
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