An alternative to diagrams for the critical O(N) model: dimensions and structure constants to order $1/N^2$

We apply the methods of modern analytic bootstrap to the critical $O (N)$ model in a $1 / N$ expansion. At infinite $N$ the model possesses higher spin symmetry which is weakly broken as we turn on $1 / N$ . By studying consistency conditions for the correlator of four fundamental fields we derive the CFT-data for all the (broken) currents to order $1 / N$ , and the CFT-data for the non-singlet currents to order $1 / N^{2}$ . To order $1 / N$ our results are in perfect agreement with those in the literature. To order $1 / N^{2}$ we reproduce known results for anomalous dimensions and obtain a variety of new results for structure constants, including the global symmetry central charge $C_{J}$ to this order.

An alternative to diagrams for the critical O(N) model: dimensions and structure constants to order $1 / N^{2}$

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An alternative to diagrams for the critical O(N) model: dimensions and structure constants to order $1 / N^{2}$

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An alternative to diagrams for the critical O(N) model: dimensions and structure constants to order 1/N21/N2

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An alternative to diagrams for the critical O(N) model: dimensions and structure constants to order 1/N21/N2

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An alternative to diagrams for the critical O(N) model: dimensions and structure constants to order $1 / N^{2}$

讲解博客

AI智能校验

An alternative to diagrams for the critical O(N) model: dimensions and structure constants to order $1 / N^{2}$

讲解博客

AI智能校验