A Worldsheet Description of Large N_c Quantum Field Theory

Details A Worldsheet Description of Large N_c Quantum Field Theory A Worldsheet Description of Large N_c Quantum Field Theory

2001-10-31

arxiv.org/abs/hep-th/0110301v3

Nucl.Phys. B626 (2002) 287-306

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, 3 figures, latex, typos corrected, references added, interpretation of ghost determinant clarified

Scientific paper

10.1016/S0550-3213(02)00034-2

The N_c to infinity limit of a matrix quantum field theory is equivalent to summing only planar Feynman diagrams. The possibility of interpreting this sum as some kind world-sheet theory has been in the air ever since 't Hooft's original paper. We establish here just such a world sheet description for a scalar quantum field with interaction term g\Tr\phi^3, and we indicate how the approach might be extended to more general field theories.

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