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

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.
104
10
1
10
105015
10.1103/PhysRevD.104.105015
http://arxiv.org/abs/2107.00342v1
DE CESARE, Fabiana; Di Pietro, Lorenzo; Serone, Marco
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/128532
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