We look for UV fixed points of non-Abelian SU(n(c)) gauge theories in 4 + 2 epsilon dimensions with n(f) Dirac fermions in the fundamental representation, using the available five-loop (MS) over bar beta-function and employing Pade-Borel resummation techniques and Pade ' approximants to the series expansion in epsilon. We find evidence for a five-dimensional UV fixed point for SU(2) theories with n(f) <= 4 and pure SU(n(c)) theories for n(c) <= 4. We also compute the anomalous dimensions gamma and gamma(g) of respectively the fermion mass bilinear and the gauge kinetic term operator at the UV fixed point.

Five-dimensional CFTs from the epsilon-expansion / DE CESARE, Fabiana; Di Pietro, Lorenzo; Serone, Marco. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - 104:10(2021), pp. 1-10. [10.1103/PhysRevD.104.105015]

Five-dimensional CFTs from the epsilon-expansion

Fabiana De Cesare
;
Lorenzo Di Pietro;Marco Serone
2021-01-01

Abstract

We look for UV fixed points of non-Abelian SU(n(c)) gauge theories in 4 + 2 epsilon dimensions with n(f) Dirac fermions in the fundamental representation, using the available five-loop (MS) over bar beta-function and employing Pade-Borel resummation techniques and Pade ' approximants to the series expansion in epsilon. We find evidence for a five-dimensional UV fixed point for SU(2) theories with n(f) <= 4 and pure SU(n(c)) theories for n(c) <= 4. We also compute the anomalous dimensions gamma and gamma(g) of respectively the fermion mass bilinear and the gauge kinetic term operator at the UV fixed point.
2021
104
10
1
10
105015
10.1103/PhysRevD.104.105015
http://arxiv.org/abs/2107.00342v1
DE CESARE, Fabiana; Di Pietro, Lorenzo; Serone, Marco
File in questo prodotto:
File Dimensione Formato  
PhysRevD.104.105015.pdf

accesso aperto

Descrizione: pdf editoriale
Tipologia: Versione Editoriale (PDF)
Licenza: Creative commons
Dimensione 363.11 kB
Formato Adobe PDF
363.11 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/128532
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 12
  • ???jsp.display-item.citation.isi??? 12
social impact