Abstract
We formally extend the CFT techniques introduced in arXiv: 1505.00963, to \( \phi \frac{2{d}_0}{d_0-2} \) theory in d = d 0 − ϵ dimensions and use it to compute anomalous dimensions near d 0 = 3, 4 in a unified manner. We also do a similar analysis of the O(N) model in three dimensions by developing a recursive combinatorial approach for OPE contractions. Our results match precisely with low loop perturbative computations. Finally, using 3-point correlators in the CFT, we comment on why the ϕ 3 theory in d 0 = 6 is qualitatively different.
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ArXiv ePrint: 1506.06616
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Basu, P., Krishnan, C. ϵ-expansions near three dimensions from conformal field theory. J. High Energ. Phys. 2015, 40 (2015). https://doi.org/10.1007/JHEP11(2015)040
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DOI: https://doi.org/10.1007/JHEP11(2015)040