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

Physics – High Energy Physics – High Energy Physics - Lattice

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7 pages, 6 figures, The XXVI International Symposium on Lattice Field Theory July 14-19 2008 Williamsburg, Virginia, USA

Scientific paper

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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