Ideal Walking Dynamics via a Gauged NJL Model

Preprint number: CP3-Origins-2017-13 DNRF90
Authors: Claudio Pica (CP3-Origins), Jarno Rantaharju (Duke University), and Francesco Sannino (CP3-Origins, DIAS & CERN)
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According to the Ideal Walking Technicolor paradigm large mass anomalous dimensions arise in gauged Nambu-Jona Lasinio (NJL) models when the four-fermion coupling is sufficiently strong to induce spontaneous symmetry breaking in an otherwise conformal gauge theory. We therefore study the $SU(2)$ gauged NJL model with two adjoint fermions using lattice simulations.
The model is in an infrared conformal phase at small NJL coupling while it displays a chirally broken phase at large NJL couplings.
In the infrared conformal phase we find that the mass anomalous dimension varies with the NJL coupling reaching $gamma_m sim 1$ close to the chiral symmetry breaking transition, de facto making the present model the first explicit realization of the Ideal Walking scenario.