Some nonabelian toy models in the large N limit

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Schwinger-Dyson equations are used to study the large N limit of U(N) gauge theory on several small lattices. Explicit solutions are found which are beyond the reach of existing steepest descent technique. They show a phase transition in a three placquette model at coupling g2N=3, resembling the known transition in the one placquette model, and lending support to expectations of a similar transition in the four dimensional lattice theory.

Original languageEnglish (US)
Pages (from-to)353-362
Number of pages10
JournalCommunications In Mathematical Physics
Issue number3
StatePublished - Jan 1981
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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