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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: |
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| 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)