Non-trivial fixed points of the scalar field theory

  • 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 non-trivial 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.

Download full text files

Export metadata

Additional Services

Share in Twitter Search Google Scholar
Metadaten
Author:Kornel Sailer, Walter GreinerGND
URN:urn:nbn:de:hebis:30-29534
ArXiv Id:http://arxiv.org/abs/9610143
Parent Title (German):Report-No: KLTE-DTP/1996/2
Document Type:Working Paper
Language:English
Date of Publication (online):2006/07/04
Year of first Publication:2006
Publishing Institution:Universit├Ątsbibliothek Johann Christian Senckenberg
Release Date:2006/07/04
Issue:[neue Fassung 2006]
Page Number:15
Source:Report-No: KLTE-DTP/1996/2 [neue Fassung 2006]. - http://de.arxiv.org/abs/hep-th/9610143
HeBIS-PPN:190307714
Institutes:Physik / Physik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Licence (German):License LogoDeutsches Urheberrecht