In a large-N 3D Gross-Neveu-Yukawa theory, the endpoint of the conformal window spontaneously breaks scale symmetry, producing a massless dilaton whose decay constant and induced mass obey a universal product formula.
Spontaneous Breaking of Scale Invariance in a d=3 U(N) Model with Chern-Simons Gauge Field
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We study spontaneous breaking of scale invariance in the large N limit of three dimensional $U(N)_\kappa$ Chern-Simons theories coupled to a scalar field in the fundamental representation. When a $\lambda_6(\phi^\dagger\cdot\phi)^3$ self interaction term is added to the action we find a massive phase at a certain critical value for a combination of the $\lambda_6$ and 't Hooft's $\lambda=N/\kappa$ couplings. This model attracted recent attention since at finite $\kappa$ it contains a singlet sector which is conjectured to be dual to Vasiliev's higher spin gravity on $AdS_4$. Our paper concentrates on the massive phase of the 3d boundary theory. We discuss the advantage of introducing masses in the boundary theory through spontaneous breaking of scale invariance.
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Dilaton Physics from Asymptotic Freedom
In a large-N 3D Gross-Neveu-Yukawa theory, the endpoint of the conformal window spontaneously breaks scale symmetry, producing a massless dilaton whose decay constant and induced mass obey a universal product formula.