An Approximate Large $N$ Method for Lattice Chiral Models

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex file, 19 pages

Scientific paper

10.1103/PhysRevD.56.1470

An approximation is used that permits one to explicitly solve the two-point Schwinger-Dyson equations of the U(N) lattice chiral models. The approximate solution correctly predicts a phase transition for dimensions $d$ greater than two. For $d \le 2 $, the system is in a single disordered phase with a mass gap. The method reproduces known $N=\infty$ results well for $d=1$. For $d=2$, there is a moderate difference with $N=\infty$ results only in the intermediate coupling constant region.

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