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arXiv · hep-lat/0012029

Chiral Lagrangians from lattice gauge theories in the strong coupling limit

Taro Nagao·Shinsuke M. Nishigaki
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Abstract

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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Taro Nagao, Shinsuke M. Nishigaki. 2000-12-29. Chiral Lagrangians from lattice gauge theories in the strong coupling limit. https://doi.org/10.1103/physrevd.64.014507

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