Two point functions in theO(N+1) supersymmetric σ model beyond leading order

Abstract

We calculate two point functions involving the Lagrange multiplier fields of theO(N+1) supersymmetric σ model beyond leading order in the largeN expansion, at zero momentum. We show they are not divergent and determine their finite part exactly ind dimensions. There is mixing between the bosonic Lagrange multiplier fields, similar to the leading order case. Further, the corrections to the bound state propagators are found to be functions ofN−1 and notN+1. This is consistent with the next to leading order modifications to the β-function.