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arxiv: 0809.5050 · v1 · submitted 2008-09-29 · ✦ hep-lat

Large N transition in the 2D SU(N)xSU(N) nonlinear sigma model

classification ✦ hep-lat
keywords largetransitiondimensionalmodelassociatedcharacteristicchiralclass
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We consider the characteristic polynomial associated with the smoothed two point function in two dimensional large N principal chiral model. We numerically show that it undergoes a transition at a critical distance of the order of the correlation length. The transition is in the same universality class as two dimensional large N QCD.

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