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Planar Diagram Field Theories

  • Gerard ’t Hooft
Part of the NATO ASI Series book series (NSSB, volume 115)

Abstract

In this compilation of lectures field theories are considered which consist of N component fields qi interacting with NxN component matrix fields Aij with internal (local or global) symmetry group SU(N) or S0 (N). The double expansion in 1/N and \({{\tilde g}^2}\) = Ng2 can be formulated in terms of Feynman diagrams with a planarity structure. If the mass is sufficiently large and \({{\tilde g}^2}\) sufficiently small then the (extremely non-trivial) expansion in \({{\tilde g}^2}\) at lowest order in 1/N is Borel summable. Exact limits on the behavior of the Borel integrand for the \({{\tilde g}^2}\) expansion are derived.

Keywords

Gauge Theory Green Function Difference Equation Symmetry Point Feynman Rule 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Press, New York 1984

Authors and Affiliations

  • Gerard ’t Hooft
    • 1
  1. 1.Institute for Theoretical PhysicsUtrechtThe Netherlands

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