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VOLUME 35 (1982) | ISSUE 6 | PAGE 258
Calculation of the fermion determinant in chiral and supersymmetrical theories
A method is proposed for integrating over fermion fields in chiral and supersymmetric theories with a real representation for fermions. The prescription allows avoiding the usual difficulties of continuation into a Euclidean space. The effect of fermion interaction, resulting from small instantons, is calculated in the supersymmetrical gluon dynamics and it is shown that the effective Lagrangian is not invariant under supersymmetry transformations.