Abstract
The N c →∞ 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 't Hooft's original paper. We establish here just such a worldsheet description for a scalar quantum field with interaction term g Trφ 3/ N c , and we indicate how the approach might be extended to more general field theories.
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