Fixed Point Interpretation of a Chirally Broken Phase
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I will review the standard conformal window picture and explore the possibility that the chirally broken phase (QCD) is amenable to an (non-perturbative) infrared fixed point interpretation by applying RG methods to the gauge theory and matching with pion physics. A number of aspects will be deduced from soft theorems. I will comment on the consistency of the approach with certain aspects of N=1 Seiberg dualities. In a second part I will review the sigma meson (f0(500)) as a candidate for the dilaton of such an interpretation. I will argue in favour and disfavour whether the sigma can become massless in the chiral limit. At last I will give an outlook on the possibility that the Higgs could be a dilaton. This talk is similar to the one given in the BSM forum later in the week but emphases more technical aspects.