Anomalous dimensions of high gradient operators in the orthogonal matrix model

A complete classification of all polynomial eigenoperators under the renormalization group and their critical exponents are given for operators with an arbitrary number of gradients which do not vanish in two dimensions, in a 2+ε expansion in one-loop order for the orthogonal matrix model of symmetry O(m++m-)/O(m+)*O(m). Similarly as in the unitary case the correction in one-loop order increases with the square of the number of gradients. In contrast to the unitary case the eigenoperators are characterized by five Young tableaux. (orig.)