Chiral Perturbation Theory on the Lattice; Strong Coupling Expansion

Abstract

We evaluate the coefficients of the effective chiral Lagrangian to $O(p^4)$ in the strong coupling, large-N expansion. In this limit we explicitly perform the functional integral over fundamental degrees of freedom and obtain the effective chiral Lagrangian. We perform this calculation on the Body Centered Hypercubical lattice which preserves Euclidean invariance to order $p^4$. We further discuss how the coefficients could be obtained numerically, out of the strong-coupling domain.

Comments: 20 pages, Latex. A paragraph in the text has been modified to provide a more accurate reference to previous applications of the Body Centered Hypercubical Lattice