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The discontinuities of conformal transitions and mass spectra of V-QCD

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arxiv 1309.2286 v1 pith:SICPD37V submitted 2013-09-09 hep-ph hep-lathep-th

classification hep-phhep-lathep-th
keywords conformalspectrafoundinfinitymassesregimetransitionv-qcd
verification ladder T0 review T1 audit T2 compute T3 formal
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Zero temperature spectra of mesons and glueballs are analyzed in a class of holographic bottom-up models for QCD in the Veneziano limit, N_c -> infinity, N_f -> infinity, with x = N_f/N_c fixed (V-QCD). The backreaction of flavor on color is fully included. It is found that spectra are discrete and gapped (modulo the pions) in the QCD regime, for x below the critical value x_c where the conformal transition takes place. The masses uniformly converge to zero in the walking region x -> x_c^- due to Miransky scaling. All the ratios of masses asymptote to non-zero constants as x -> x_c^- and therefore there is no "dilaton" in the spectrum. The S-parameter is computed and found to be of O(1) in units of N_f N_c in the walking regime, while it is always an increasing function of x. This indicates the presence of a subtle discontinuity of correlation functions across the conformal transition at x = x_c.

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Cited by 3 Pith papers

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    Using the VQCD holographic model, the authors compute four sets of proton observables that match experiment and lattice data, but many inputs are fitted rather than predicted.

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