Chiral Lagrangians from lattice gauge theories in the strong coupling limit

Details Chiral Lagrangians from lattice gauge theories in the strong coupling limit Chiral Lagrangians from lattice gauge theories in the strong coupling limit

2000-12-29

arxiv.org/abs/hep-lat/0012029v1

Phys.Rev. D64 (2001) 014507

Physics

High Energy Physics

High Energy Physics - Lattice

REVTeX 3.1, 4 pages, no figure

Scientific paper

10.1103/PhysRevD.64.014507

We derive nonlinear sigma models (chiral Lagrangians) over symmetric spaces U(n), U(2n)/Sp(2n), and U(2n)/O(2n) from U(N), O(N), and Sp(2N) lattice gauge theories coupled to n flavors of staggered fermions, in the large-N and g^2 N limit. To this end, we employ Zirnbauer's color-flavor transformation. We prove the spatial homogeneity of the vacuum configurations of mesons by explicitly solving the large-N saddle point equations, and thus establish the above patterns of spontaneous chiral symmetry breaking without any assumptions.

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