Conformal Field Theory Techniques in Large N Yang-Mills Theory

  • Michael R. Douglas
Part of the NATO ASI Series book series (NSSB, volume 328)


Following some motivating comments on large N two-dimensional Yang-Mills theory, we discuss techniques for large N group representation theory, using quantum mechanics on the group manifold U(N), its equivalence to a quasirelativistic two-dimensional free fermion theory, and bosonization. As applications, we compute the free energy for two-dimensional Yang-Mills theory on the torus to O(1/N 2), and an interesting approximation to the leading answer for the sphere. We discuss the question of whether the free energy for the torus has R → 1/R invariance.


Modular Form Eisenstein Series Conformal Field Theory Young Tableau Group Manifold 
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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Michael R. Douglas
    • 1
  1. 1.Dept. of Physics and AstronomyRutgers UniversityUSA

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