Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1991-12-03
Physics
High Energy Physics
High Energy Physics - Theory
9pages e-mail address : insth1::nojiri or nojiri%insth1.hepnet@lbl
Scientific paper
We discuss the non-perturbative aspect of zero dimensional superstring. The perturbative expansions of correlation functions diverge as $\sum_l(3l)!\kappa^{2l}$, where $\kappa$ is a string coupling constant. This implies there are non-perturbative contributions of order $\e^{C\kappa^{-{2 \over 3}}}$. (Here $C$ is a constant.) This situation contrasts with those of critical or non-critical bosonic strings, where the perturbative expansions diverge as $\sum_ll!\kappa^{2l}$ and non-perturbative behaviors go as $\e^{C\kappa^{-1}}$. It is explained how such nonperturbative effects of order $\e^{C\kappa^{-{2 \over 3}}}$ appear in zero dimensional superstring theory. Due to these non-perturbative effects, the supersymmetry in target space breaks down spontaneously.
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