Symplectic and Large-N Gauge Theories

  • George Savvidy
Part of the NATO ASI Series book series (NSSB, volume 255)


In our world the number of quark colors N is equal to three.Many years ago ’t Hooft noticed,1 that it is extremely useful to treat N as a free parameter and to consider the large-N limit.ln the large-N limit the structure of the theory partly simplifies, that is only planar graphs survive,i.e. a graph,which does not have overlapping lines.Nonplanar graphs have factors 1/N and it is very tempting therefore to make 1/N expansion.


Gauge Theory Gauge Field Central Extension Planar Diagram Topological Expansion 


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Copyright information

© Plenum Press, New York 1991

Authors and Affiliations

  • George Savvidy
    • 1
  1. 1.Yerevan Physics InstituteYerevan ArmeniaUSSR

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