## Abstract

Within the framework of gauge SUSY theories we discuss correlation functions of the type 〈W^{2}(x), S^{2}(0)〉 where S is the chiral matter superfield (in the one-flavor model). SUSY implies that these correlation functions do not depend on coordinates and vanish identically in perturbation theory. We develop a technique for the systematic calculation of instanton effects. It is shown that even in the limit x→0 the correlation functions at hand are not saturated by small-size instantons with radius θ∼x; a contribution of the same order of magnitude comes from the instantons of characteristic size θ∼1/ν (ν is the vacuum expectation value of the scalar field, and we concentrate on the models with ν≫Λ where Λ is the scale parameter fixing the running gauge coupling constant). If ν≫Λ both types of instantons can be consistently taken into account. The computational formalism proposed is explicitly supersymmetric and uses the language of instanton-associated superfields. We demonstrate, in particular, that one can proceed to a new variable, ρ{variant}_{inv}, which can be naturally considered as a supersymmetric generalization of the instanton radius. Unlike the ordinary radius ρ{variant}, this variable is invariant under the SUSY transformations. If one uses ρ{variant}_{inv} instead of ρ{variant} the expressions for the instanton contribution can be rewritten in the form saturated by the domain ρ{variant}_{inv}^{2}=0. The cluster decomposition as well as x-independence of the correlation functions considered turn out to be obvious in this formalism.

Original language | English (US) |
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Pages (from-to) | 157-181 |

Number of pages | 25 |

Journal | Nuclear Physics, Section B |

Volume | 260 |

Issue number | 1 |

DOIs | |

State | Published - Oct 14 1985 |