### 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 language | English |
---|---|

Pages (from-to) | 41-56 |

Number of pages | 16 |

Journal | Acta Physica Hungarica New Series Heavy Ion Physics |

Volume | 5 |

Issue number | 1 |

Publication status | Published - 1997 |

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### ASJC Scopus subject areas

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

### Cite this

*Acta Physica Hungarica New Series Heavy Ion Physics*,

*5*(1), 41-56.

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

Research output: Contribution to journal › Article

*Acta Physica Hungarica New Series Heavy Ion Physics*, vol. 5, no. 1, pp. 41-56.

}

TY - JOUR

T1 - Non-Trivial Fixed Points of the Scalar Field Theory

AU - Sailer, K.

AU - Greiner, W.

PY - 1997

Y1 - 1997

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0347108819&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0347108819&partnerID=8YFLogxK

M3 - Article

VL - 5

SP - 41

EP - 56

JO - Acta Physica Hungarica, Series A: Heavy Ion Physics

JF - Acta Physica Hungarica, Series A: Heavy Ion Physics

SN - 1219-7580

IS - 1

ER -