2011/06/30 by Agostino Patella · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal map #Gauge theory #Geometry #Infrared #Lattice (music) #Lattice gauge theory #Mathematical physics #Mathematics #Physics #Physics of Superconductivity and Magnetism #Pseudoscalar #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quark #Renormalization group #Theoretical physics #hep-lat #hep-th
paper · pdf · doi:10.1103/physrevd.84.125033
published as Phys.Rev. D84 (2011) 125033 · 28 pages, 1 PDF figure
openalex publication_date 2011/12/27 · arxiv created 2012/03/28 · arxiv updated 2012/03/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A generalization of the Gell-Mann-Oaks-Renner 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. An application to lattice simulations is briefly discussed.