SciPost Submission Page
General Properties of Multiscalar RG Flows in $d=4-\varepsilon$
by Slava Rychkov, Andreas Stergiou
This Submission thread is now published as SciPost Phys. 6, 008 (2019)
Submission summary
As Contributors: | Slava Rychkov · Andreas Stergiou |
Arxiv Link: | https://arxiv.org/abs/1810.10541v4 (pdf) |
Date accepted: | 2019-01-14 |
Date submitted: | 2019-01-09 01:00 |
Submitted by: | Stergiou, Andreas |
Submitted to: | SciPost Physics |
Academic field: | Physics |
Specialties: |
|
Approach: | Theoretical |
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.
Ontology / Topics
See full Ontology or Topics database.Published as SciPost Phys. 6, 008 (2019)