Running anomalous dimensions in holographic QCD: from the proton to the sexaquark

Abstract

In holographic models of QCD, the running of the anomalous dimension of the quark bilinear operator leads to chiral symmetry breaking when gamma=1 and the Breitenlohner-Freedman bound is violated. In that case, the running drives the sigma meson mass tachyonic inducing the chiral symmetry breaking. Here we include the running anomalous dimension in the computation of the spectrum of bound states associated with other operators made of light quarks, such as the nucleon and exotic sexaquark states. We show that including the one loop gauge theory running can have substantial effects on the predictions. For example, the nucleon mass to rho mass ratio is improved and lies much closer to the observed value. A similar result is obtained for the Lambda and Xi baryons when strange quarks are included. A uuddss sexaquark state with a low enough mass to make it stable can be achieved, but this depends on the input assumptions about the running dimension.

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