GMOR-like relation in IR-conformal gauge theories

Abstract

A generalization of the GMOR relation to the case of infrared-conformal gauge theories is discussed. The starting point is the chiral Ward identity connecting the isovector pseudoscalar susceptibility to the chiral condensate, in a mass-deformed theory. A renormalization-group analysis shows that the pseudoscalar susceptibility is not saturated by the lightest state, but a contribution from the continuum part of the spectrum survives in the chiral limit. The computation also shows how infrared-conformal gauge theories behave differently, depending on whether the anomalous dimension of the chiral condensate be smaller or larger than 1.

28 pages, 1 PDF figure

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• Orthogonal Technicolor with Isotriplet Dark Matter on the Lattice
• Infrared fixed point of SU(2) gauge theory with six flavors
• The gradient flow running coupling in SU(2) gauge theory with $N_f=8$ fundamental flavors
• Quark mass anomalous dimension and ${\Lambda }_{\overline{\text{MS}}}$ from the twisted mass Dirac operator spectrum
• Mass anomalous dimension of SU(2) with Nf=8 using the spectral density method