Built on

D. Karateev, P. Kravchuk, M. Serone, and A. Vichi, Fermion Conformal Bootstrap in 4d
Original
1902
Earlier work this paper cites.
S. Giombi, R. Huang, I. R. Klebanov, S. S. Pufu, and G. Tarnopolsky, The O ⁡ ( N ) O(N) Model in 4 < d < 6 {4<d<6} : Instantons and complex CFTs
Original
1910
Earlier work this paper cites.
W. E. Caswell, Asymptotic Behavior of Nonabelian Gauge Theories to Two Loop Order
1974
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M. Creutz, Confinement and the Critical Dimensionality of Space-Time
1979
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M. Peskin, Critical point behavior of the Wilson loop
1980
Earlier work this paper cites.
T. Banks and A. Zaks, On the Phase Structure of Vector-Like Gauge Theories with Massless Fermions
1982
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D. Espriu, A. Palanques-Mestre, P. Pascual, and R. Tarrach, The γ \gamma Function in the 1/ N f N_{f} Expansion
1982
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A. Palanques-Mestre and P. Pascual, The 1/ N f N_{f} Expansion of the γ \gamma and Beta Functions in QED
1984
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H. Kawai, M. Nio, and Y. Okamoto, On Existence of Non-Renormalizable Field Theory: Pure SU(2) Lattice Gauge Theory in Five Dimensions
1992
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N. Seiberg, Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics
1996
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J. A. Gracey, The QCD Beta function at O( 1 / N f 1/N_{f} )
1996
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P. Benetti Genolini, M. Honda, H.-C. Kim, D. Tong, and C. Vafa, Evidence for a Non-Supersymmetric 5d CFT from Deformations of 5d S U ( 2 ) SU(2) SYM
Original
2001
Earlier work this paper cites.

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L. Di Pietro and M. Serone, Looking through the QCD Conformal Window with Perturbation Theory
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2003
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2003
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J. A. Gracey, Classification and one loop renormalization of dimension-six and dimension-eight operators in quantum gluodynamics
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Original
2005
Cited alongside, same era.

Then

L. Fei, S. Giombi, I. R. Klebanov, and G. Tarnopolsky, Generalized F F -Theorem and the ϵ \epsilon Expansion
Original
2015
Later among the works it cites.
J. A. Gracey, Six dimensional QCD at two loops
Original
2016
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S. Giombi, I. R. Klebanov, and G. Tarnopolsky, Conformal QED d
Original
2016
Later among the works it cites.
P. A. Baikov, K. G. Chetyrkin, and J. H. Kuhn, Five-Loop Running of the QCD coupling constant
Original
2017
Later among the works it cites.
F. Herzog, B. Ruijl, T. Ueda, J. A. M. Vermaseren, and A. Vogt, The five-loop beta function of Yang-Mills theory with fermions
Original

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2021

Five-dimensional CFTs from the $\epsilon$-expansion

De Cesare, Fabiana, Di Pietro, Lorenzo, Serone, Marco

Understand

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 $\overline{{\rm MS}}$ $\beta$-function and employing Pad\'e-Borel resummation techniques and Pad\'e approximants to the series expansion in $\epsilon$.

We find evidence for a $5d$ UV-fixed point for $SU(2)$ theories with $n_f\leq 4$.
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.

Built on

D. Karateev, P. Kravchuk, M. Serone, and A. Vichi, Fermion Conformal Bootstrap in 4d
Original
1902
Earlier work this paper cites.
S. Giombi, R. Huang, I. R. Klebanov, S. S. Pufu, and G. Tarnopolsky, The O ⁡ ( N ) O(N) Model in 4 < d < 6 {4<d<6} : Instantons and complex CFTs
Original
1910
Earlier work this paper cites.
W. E. Caswell, Asymptotic Behavior of Nonabelian Gauge Theories to Two Loop Order
1974
Earlier work this paper cites.
M. Creutz, Confinement and the Critical Dimensionality of Space-Time
1979
Earlier work this paper cites.
M. Peskin, Critical point behavior of the Wilson loop
1980
Earlier work this paper cites.
T. Banks and A. Zaks, On the Phase Structure of Vector-Like Gauge Theories with Massless Fermions
1982
Earlier work this paper cites.
D. Espriu, A. Palanques-Mestre, P. Pascual, and R. Tarrach, The γ \gamma Function in the 1/ N f N_{f} Expansion
1982
Earlier work this paper cites.
A. Palanques-Mestre and P. Pascual, The 1/ N f N_{f} Expansion of the γ \gamma and Beta Functions in QED
1984
Earlier work this paper cites.
H. Kawai, M. Nio, and Y. Okamoto, On Existence of Non-Renormalizable Field Theory: Pure SU(2) Lattice Gauge Theory in Five Dimensions
1992
Earlier work this paper cites.
N. Seiberg, Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics
1996
Earlier work this paper cites.
J. A. Gracey, The QCD Beta function at O( 1 / N f 1/N_{f} )
1996
Earlier work this paper cites.
P. Benetti Genolini, M. Honda, H.-C. Kim, D. Tong, and C. Vafa, Evidence for a Non-Supersymmetric 5d CFT from Deformations of 5d S U ( 2 ) SU(2) SYM
Original
2001
Earlier work this paper cites.

Similar

L. Di Pietro and M. Serone, Looking through the QCD Conformal Window with Perturbation Theory
Original
2003
Cited alongside, same era.
H. Gies, Renormalizability of gauge theories in extra dimensions
2003
Cited alongside, same era.
J. A. Gracey, Classification and one loop renormalization of dimension-six and dimension-eight operators in quantum gluodynamics
2004
Cited alongside, same era.
T. Morris, Renormalizable extra-dimensional models
2005
Cited alongside, same era.
Z. Li and D. Poland, Searching for gauge theories with the conformal bootstrap
Original
2005
Cited alongside, same era.