GMOR-like relation in IR-conformal gauge theories

Details GMOR-like relation in IR-conformal gauge theories GMOR-like relation in IR-conformal gauge theories

2011-06-17

arxiv.org/abs/1106.3494v2

Phys.Rev. D84 (2011) 125033

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, 1 PDF figure

Scientific paper

10.1103/PhysRevD.84.125033

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.

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