Influence of Long-range Interactions on the Critical Behavior of Systems   with negative Fisher-Exponent
  The influence of long-range interactions decaying in d dimensions as 1/R^{d+\sigma} on the critical behavior of systems with Fisher's correlation-function exponent for short-range interactions \eta_{SR}<0, is re-examined. Such systems, typically described by \Phi ^{3}-field theories, are e.g. the Potts-model in the percolation-limit, the Edwards-Anderson spin-glass, and the Yang-Lee edge singularity. In contrast to preceding studies, it is shown by means of Wilson's momentum-shell renormalization-group recursion relations that the long-range interactions dominate as long as \sigma <2-\eta _{SR}. Exponents change continuously to their short-range values at the boundary of this region. 
H.K. Janssen (Heinrich-Heine-Universitaet, Duesseldorf, Germany)