An alternative to diagrams for the critical O(N) model: dimensions and structure constants to order 1/N2
Luis F. Alday, Johan Henriksson, Mark van Loon
Abstract
A bstract 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.
Topics & Concepts
PhysicsOrder (exchange)Symmetry (geometry)Theoretical physicsConsistency (knowledge bases)Variety (cybernetics)Charge (physics)Statistical physicsSpin (aerodynamics)Symmetry breakingCritical phenomenaGlobal symmetryField (mathematics)Spin modelMathematical physicsRotational symmetryQuantum electrodynamicsCentral chargeSymmetry groupDiagramCurrent (fluid)Black Holes and Theoretical PhysicsPhysics of Superconductivity and MagnetismAlgebraic structures and combinatorial models