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We derive nonlinear sigma models (chiral Lagrangians) over symmetric spacesU(n), U(2n)/Sp(2n), and U(2n)/O(2n) from U(N), O(N), and Sp(2N) lattice gaugetheories coupled to n flavors of staggered fermions, in the large-N and g^2 Nlimit. To this end, we employ Zirnbauer's color-flavor transformation. We provethe spatial homogeneity of the vacuum configurations of mesons by explicitlysolving the large-N saddle point equations, and thus establish the abovepatterns of spontaneous chiral symmetry breaking without any assumptions.Comment: REVTeX 3.1, 4 pages, no figur

Chiral Lagrangians from lattice gauge theories in the strong coupling limit