By extending the nonlinear sigma model to the semi-infinite geometry, the correlation function exponents η // , η ⊥ of the ordinary transition are estimated to the order of ε 2 (ε= d -2).
We analyze the critical behavior of isotropic ferromagnets with a free surface by means of field-theoretic renormalization methods in d=2+\ensuremath{\epsilon} dimensions. Renormalization-group equations for surface quantities are derived which imply scaling to all orders in \ensuremath{\epsilon}. Explicit results to order ${\mathrm{\ensuremath{\epsilon}}}^{2}$ are presented for the critical surface exponents of the ordinary transition. Interpolation with the known results near four dimensions yields estimates for d=3 which seem to be remarkably accurate.