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Creators/Authors contains: "Goykhman, Mikhail"

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  1. We consider a UV-complete field-theoretic model in general dimensions, including d=2+1, which consists of two copies of thelong-range vector models, with O(m) and O(N-m) global symmetry groups,perturbed by double-trace operators.Using conformal perturbation theorywe find weakly-coupled IR fixed points for N\geq 6 N ≥ 6 that reveal a spontaneousbreaking of global symmetry. Namely, at finite temperature the lower rank group is broken,with the pattern persisting at all temperatures due to scale-invariance. We provide evidence that the models in question are unitary and invariant under full conformal symmetry. Furthermore, we show that this model exhibits a continuous family of weakly interacting field theories at finite N. 
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  2. null (Ed.)
    A bstract We use the background field method to systematically derive CFT data for the critical ϕ 6 vector model in three dimensions, and the Gross-Neveu model in dimensions 2 ≤ d ≤ 4. Specifically, we calculate the OPE coefficients and anomalous dimensions of various operators, up to next-to-leading order in the 1/ N expansion. 
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