The effective one-loop scalar lagrangian with derivative couplings

The one-loop effective scalar lagrangian is given in an explicitly field redefinition invariant for form a general model with derivative scalar self-couplings and scalar couplings to spin-1/2 fermions. Applications are given for the non-linear sigma-model and the leading N (N = number of chiral multiplets) contribution to the quadratically divergent terms in no-scale supergravity models of the type that may arise from compactification of superstring theories. The formalism is easily generalized to the case of background gauge fields. (orig.)