Five-dimensional CFTs from the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ε</mml:mi></mml:math> -expansion

نویسندگان

چکیده

We look for UV fixed points of non-abelian $SU(n_c)$ gauge theories in $4+2\epsilon$ dimensions with $n_f$ Dirac fermions the fundamental representation, using available five-loop $\overline{{\rm MS}}$ $\beta$-function and employing Pad\'e-Borel resummation techniques Pad\'e approximants to series expansion $\epsilon$. find evidence a $5d$ UV-fixed point $SU(2)$ $n_f\leq 4$ pure $n_c\leq 4$. also compute anomalous $\gamma$ $\gamma_g$ respectively fermion mass bilinear kinetic term operator at point.

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ژورنال

عنوان ژورنال: Physical review

سال: 2021

ISSN: ['0556-2813', '1538-4497', '1089-490X']

DOI: https://doi.org/10.1103/physrevd.104.105015