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arXiv · 1106.3494

GMOR-like relation in IR-conformal gauge theories

Agostino Patella
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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.

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Agostino Patella. 2011-06-17. GMOR-like relation in IR-conformal gauge theories. https://doi.org/10.1103/physrevd.84.125033

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