Abstract

We define nonlinear changes of variables in Berezin integrals as new integration variables of homogeneous polynomials of the defining elements in the Grassmann algebra. We perform such a change of variables in the partition function of QCD by introducing as integration variables cubic and quadratic polynomials of the quark field, with the quantum numbers of the nucleon and the meson respectively, and we suggest a perturbative scheme using these these functions as free states.

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