| Article | |
| Report number | arXiv:1810.10541 ; CERN-TH-2018-225 |
| Title | General Properties of Multiscalar RG Flows in $d=4-\varepsilon$ |
| Author(s) | Rychkov, Slava (IHES, Bures-sur-Yvette ; Ecole Normale Superieure) ; Stergiou, Andreas (CERN ; Los Alamos) |
| Publication | 2019-01-17 |
| Imprint | 2018-10-24 |
| Number of pages | 33 |
| Note | 29 pages, 4 figures; see section 3 for a prize problem. v2: small correction in appendix, typos fixed. v3: minor additions. v4: some next-to-leading order results added, typos fixed |
| In: | SciPost Phys. 6 (2019) 008 |
| DOI | 10.21468/SciPostPhys.6.1.008 (publication) |
| Subject category | cond-mat.stat-mech ; hep-th ; Particle Physics - Theory |
| 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. |
| Copyright/License | preprint: (License: arXiv nonexclusive-distrib 1.0) publication: © 2019-2025 The authors (License: CC-BY-4.0) |
Corresponding record in: Inspire
Záznam vytvorený 2018-10-28, zmenený 2023-10-04
