Five-dimensional CFTs from the $ε$-expansion
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2021
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917762775908352 |
|---|---|
| author | De Cesare, Fabiana Di Pietro, Lorenzo Serone, Marco |
| author_facet | De Cesare, Fabiana Di Pietro, Lorenzo Serone, Marco |
| contents | We look for UV fixed points of non-abelian $SU(n_c)$ gauge theories in $4+2ε$ dimensions with $n_f$ Dirac fermions in the fundamental representation, using the available five-loop $\overline{\rm MS}$ $β$-function and employing Padé-Borel resummation techniques and Padé approximants to the series expansion in $ε$. We find evidence for a $5d$ UV-fixed point for $SU(2)$ theories with $n_f\leq 4$. We also compute the anomalous dimensions $γ$ and $γ_g$ of respectively the fermion mass bilinear and the gauge kinetic term operator at the UV fixed point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2107_00342 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Five-dimensional CFTs from the $ε$-expansion De Cesare, Fabiana Di Pietro, Lorenzo Serone, Marco High Energy Physics - Theory High Energy Physics - Lattice High Energy Physics - Phenomenology We look for UV fixed points of non-abelian $SU(n_c)$ gauge theories in $4+2ε$ dimensions with $n_f$ Dirac fermions in the fundamental representation, using the available five-loop $\overline{\rm MS}$ $β$-function and employing Padé-Borel resummation techniques and Padé approximants to the series expansion in $ε$. We find evidence for a $5d$ UV-fixed point for $SU(2)$ theories with $n_f\leq 4$. We also compute the anomalous dimensions $γ$ and $γ_g$ of respectively the fermion mass bilinear and the gauge kinetic term operator at the UV fixed point. |
| title | Five-dimensional CFTs from the $ε$-expansion |
| topic | High Energy Physics - Theory High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2107.00342 |