Abstract
We consider ϕ 3 theory in 6 − 2ϵ with F 4 global symmetry. The beta function is calculated up to 3 loops, and a stable unitary IR fixed point is observed. The anomalous dimensions of operators quadratic or cubic in ϕ are also computed. We then employ conformal bootstrap technique to study the fixed point predicted from the perturbative approach. For each putative scaling dimension of ϕ (Δ ϕ ), we obtain the corresponding upper bound on the scaling dimension of the second lowest scalar primary in the 26 representation (Δ 2nd 26 ) which appears in the OPE of ϕ × ϕ. In D = 5.95, we observe a sharp peak on the upper bound curve located at Δ ϕ equal to the value predicted by the 3-loop computation. In D = 5, we observe a weak kink on the upper bound curve at (Δ ϕ , Δ 2nd 26 ) = (1.6, 4).
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Pang, Y., Rong, J. & Su, N. ϕ 3 theory with F4 flavor symmetry in 6 − 2ϵ dimensions: 3-loop renormalization and conformal bootstrap. J. High Energ. Phys. 2016, 57 (2016). https://doi.org/10.1007/JHEP12(2016)057
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DOI: https://doi.org/10.1007/JHEP12(2016)057