Strong coupling versus large N in σ-models |
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Authors: | Ian K Affleck Herbert Levine |
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Institution: | Lyman Laboratory of Physics, Harvard University, Cambridge, MA 02138, USA |
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Abstract: | We show that the lattice CP(N?1) model does not have a phase transition at N = ∞, of the type proposed for SU(N) gauge theories, despite having instantons. It does, however, have non-commuting large-N and strong coupling expansions. This rather unique situation is associated with the screening properties of the model. |
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