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Exploring the conformal transition from above and below
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abstract
We consider conformal transitions arising from the merging of IR and UV fixed points, expected to occur in QCD with a large enough number of flavors. We study the smoothness of physical quantities across this transition, being mostly determined by the logarithmic breaking of conformal invariance. We investigate this explicitly using holography where approaching the conformal transition either from outside or inside the conformal window (perturbed by a mass term) is characterized by the same dynamics. The mass of spin-1 mesons and $F_\pi$ are shown to be continuous across the transition, as well as the dilaton mass. This implies that the lightness of the dilaton cannot be a consequence of the spontaneous breaking of scale invariance when leaving the conformal window. Our analysis suggests that the light scalar observed in QCD lattice simulations is a $q\bar q$ meson that becomes light since the $q\bar q$-operator dimension reaches its minimal value.
Forward citations
Cited by 4 Pith papers
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Holographic analysis of near-conformal dynamics and light dilaton
In bottom-up holographic models of near-conformal gauge theories, a parametrically light dilaton exists only for nearly Neumann infrared boundary conditions, and this persists when a full ultraviolet RG flow is included.
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Light dilaton from top-down holographic confinement with magnetic fluxes
In a two-flux family of top-down holographic confining theories, the lightest scalar is an approximate dilaton with mass about one tenth of the lightest spin-2 confinement scale, over a wide, untuned region of paramet...
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On the stability of holographic confinement with magnetic fluxes
A bottom-up holographic model with magnetic flux on a circle shows a confining-to-conformal phase transition that occurs before a tachyonic instability, with the lightest scalar near the transition resembling a dilaton.
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Dilatonic states, phase transitions, and criticality in holography
A review of holographic examples indicating that a light dilaton appears near critical endpoints of first-order zero-temperature phase transitions, with explicit but lower-dimensional demonstrations.
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