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Nontrivial fixed points of the scalar field theory
(2006)

Kornel Sailer
Walter Greiner
 The phase structure of the scalar field theory with arbitrary powers of the gradient operator and a local nonanalytic potential is investigated by the help of the RG in Euclidean space. The RG equation for the generating function of the derivative part of the action is derived. Infinitely many nontrivial fixed points of the RG transformations are found. The corresponding effective actions are unbounded from below and do probably not exhibit any particle content. Therefore they do not provide physically sensible theories.