Non-Trivial Fixed Points of the Scalar Field Theory

K. Sailer, W. Greiner

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The phase structure of the scalar field theory with arbitrary powers of the gradient operator and a local non-analytic 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.

Original languageEnglish
Pages (from-to)41-56
Number of pages16
JournalActa Physica Hungarica New Series Heavy Ion Physics
Volume5
Issue number1
Publication statusPublished - 1997

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Euclidean geometry
scalars
operators
gradients

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics

Cite this

Non-Trivial Fixed Points of the Scalar Field Theory. / Sailer, K.; Greiner, W.

In: Acta Physica Hungarica New Series Heavy Ion Physics, Vol. 5, No. 1, 1997, p. 41-56.

Research output: Contribution to journalArticle

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