Chiral Perturbation Theory on the Lattice; Strong Coupling Expansion

Stanley Myint, Claudio Rebbi

Published 1994-01-11, updated 1994-01-31Version 2

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.