A worldsheet description of large Nc quantum field theory Original Research Article

The Nc→∞ limit of a matrix quantum field theory is equivalent to summing only planar Feynman diagrams. The possibility of interpreting this sum as some kind worldsheet theory has been in the air ever since ʹt Hooftʹs original paper. We establish here just such a worldsheet description for a scalar quantum field with interaction term gTrφ3/Nc, and we indicate how the approach might be extended to more general field theories.