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An alternative to diagrams for the critical O(N) model: dimensions and structure constants to order 1/N 2
oleh: Luis F. Alday, Johan Henriksson, Mark van Loon
| Format: | Article |
|---|---|
| Diterbitkan: | SpringerOpen 2020-01-01 |
Deskripsi
Abstract 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.