Article thumbnail

General properties of multiscalar RG Flows in $d=4-\varepsilon$

By Andreas Stergiou Slava Rychkov

Abstract

Fixed points of scalar field theories with quartic interactions in $d=4-\varepsilon$ dimensions are considered in full generality. For such theories it is known that there exists a scalar function $A$ of the couplings through which the leading-order beta-function can be expressed as a gradient. It is here proved that the fixed-point value of $A$ is bounded from below by a simple expression linear in the dimension of the vector order parameter, $N$. Saturation of the bound requires a marginal deformation, and is shown to arise when fixed points with the same global symmetry coincide in coupling space. Several general results about scalar CFTs are discussed, and a review of known fixed points is given

Topics: Physics, QC1-999
Publisher: SciPost
Year: 2019
OAI identifier: oai:doaj.org/article:f6e4e0b1ada44f97ab428d86301dc4b9
Journal:
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • https://doaj.org/article/f6e4e... (external link)
  • https://doaj.org/toc/2542-4653 (external link)
  • https://scipost.org/SciPostPhy... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.