QUARK EFFECTIVE THEORY AT LARGE ORDERS IN 1 M

The existing derivations of a heavy quark effective theory (HQET) are presented from a unified point of view. It is shown that a correct nor malization of the heavy quark field in the effective theory is crucial for making explicit the mass dependence of the matrix elements. A pos sible variant of HQET which satisfies this requirement and which is co nstructed from a sequence of Foldy-Wouthuysen transformations is prese nted. The renormalization of the resulting effective Lagrangian to ord er 1/m(2) is performed including also effects arising from vacuum pola rization.