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M. Beccaria, S. Giombi and A. A. Tseytlin, Correlators on non-supersymmetric Wilson line in 𝒩 = 4 \mathcal{N}=4 SYM and AdS 2
Original
1903
Earlier work this paper cites.
D. H. Correa, V. I. Giraldo-Rivera and G. A. Silva, Supersymmetric mixed boundary conditions in AdS 2
Original
1910
Earlier work this paper cites.
S. Giombi and I. R. Klebanov, Interpolating between a a and F F , JHEP 03
Original
1937
Earlier work this paper cites.
A. M. Polyakov, Gauge Fields as Rings of Glue , Nucl. Phys. B164
1980
Earlier work this paper cites.
V. S. Dotsenko and S. N. Vergeles, Renormalizability of Phase Factors in the Nonabelian Gauge Theory , Nucl. Phys. B169
1980
Earlier work this paper cites.
J.-L. Gervais and A. Neveu, The Slope of the Leading Regge Trajectory in Quantum Chromodynamics , Nucl. Phys. B163
1980
Earlier work this paper cites.
I. Ya. Arefeva, Quantum contour field equations , Phys. Lett. 93B
1980
Earlier work this paper cites.
R. A. Brandt, F. Neri and M.-a. Sato, Renormalization of Loop Functions for All Loops , Phys. Rev. D 24
1981
Earlier work this paper cites.
H. Dorn, Renormalization of Path Ordered Phase Factors and Related Hadron Operators in Gauge Field Theories , Fortsch. Phys. 34
1986
Earlier work this paper cites.
R. M. Marinho and L. Boanerges Peixoto, Charge renormalization of the Yang-Mills theory up to fourth order using dimensional regularization , Nuovo Cim. A97
1987
Earlier work this paper cites.
I. Affleck and A. W. W. Ludwig, Universal noninteger ’ground state degeneracy’ in critical quantum systems , Phys. Rev. Lett. 67
1991
Earlier work this paper cites.

Similar

J. M. Maldacena, Wilson loops in large N field theories , Phys. Rev. Lett. 80
1998
Cited alongside, same era.
J. K. Erickson, G. W. Semenoff and K. Zarembo, Wilson loops in N=4 supersymmetric Yang-Mills theory , Nucl. Phys. B582
2000
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S.-J. Rey and J.-T. Yee, Macroscopic strings as heavy quarks in large N gauge theory and anti-de Sitter supergravity , Eur. Phys. J. C22
2001
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D. Grabner, N. Gromov and J. Julius, Excited States of One-Dimensional Defect CFTs from the Quantum Spectral Curve , JHEP 07
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Cited alongside, same era.

Then

L. Fei, S. Giombi, I. R. Klebanov and G. Tarnopolsky, Generalized F F -Theorem and the ϵ \epsilon Expansion , JHEP 12
Original
2015
Later among the works it cites.
M. Cooke, A. Dekel and N. Drukker, The Wilson loop CFT: Insertion dimensions and structure constants from wavy lines , J. Phys. A50
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2017
Later among the works it cites.
S. Giombi, R. Roiban and A. A. Tseytlin, Half-BPS Wilson loop and AdS 2 /CFT 1 , Nucl. Phys. B922
Original
2017
Later among the works it cites.
M. Beccaria, S. Giombi and A. Tseytlin, Non-supersymmetric Wilson loop in 𝒩 \mathcal{N} = 4 SYM and defect 1d CFT , JHEP 03
Original
2018
Later among the works it cites.
M. Beccaria and A. A. Tseytlin, On non-supersymmetric generalizations of the Wilson-Maldacena loops in 𝒩 = 4 \mathcal{N}=4 SYM , Nucl. Phys. B934

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2021

Higher order RG flow on the Wilson line in $\mathcal{N}=4$ SYM

Beccaria, Matteo, Giombi, Simone, Tseytlin, Arkady A.

Understand

Extending earlier work, we find the two-loop term in the beta-function for the scalar coupling $\zeta$ in a generalized Wilson loop operator of the $\mathcal{N}=4$ SYM theory, working in the planar weak-coupling expansion.

The beta-function for $\zeta$ has fixed points at $\zeta=\pm 1$ and $\zeta=0$, corresponding respectively to the supersymmetric Wilson-Maldacena loop and to the standard Wilson loop without scalar coupling.
As a consequence of our result for the beta-function, we obtain a prediction for the two-loop term in the anomalous dimension of the scalar field inserted on the standard Wilson loop.
We also find a subset of higher-loop contributions (with highest powers of $\zeta$ at each order in `t Hooft coupling) coming from the scalar ladder graphs determining the corresponding terms in the five-loop beta-function.

Built on

M. Beccaria, S. Giombi and A. A. Tseytlin, Correlators on non-supersymmetric Wilson line in 𝒩 = 4 \mathcal{N}=4 SYM and AdS 2
Original
1903
Earlier work this paper cites.
D. H. Correa, V. I. Giraldo-Rivera and G. A. Silva, Supersymmetric mixed boundary conditions in AdS 2
Original
1910
Earlier work this paper cites.
S. Giombi and I. R. Klebanov, Interpolating between a a and F F , JHEP 03
Original
1937
Earlier work this paper cites.
A. M. Polyakov, Gauge Fields as Rings of Glue , Nucl. Phys. B164
1980
Earlier work this paper cites.
V. S. Dotsenko and S. N. Vergeles, Renormalizability of Phase Factors in the Nonabelian Gauge Theory , Nucl. Phys. B169
1980
Earlier work this paper cites.
J.-L. Gervais and A. Neveu, The Slope of the Leading Regge Trajectory in Quantum Chromodynamics , Nucl. Phys. B163
1980
Earlier work this paper cites.
I. Ya. Arefeva, Quantum contour field equations , Phys. Lett. 93B
1980
Earlier work this paper cites.
R. A. Brandt, F. Neri and M.-a. Sato, Renormalization of Loop Functions for All Loops , Phys. Rev. D 24
1981
Earlier work this paper cites.
H. Dorn, Renormalization of Path Ordered Phase Factors and Related Hadron Operators in Gauge Field Theories , Fortsch. Phys. 34
1986
Earlier work this paper cites.
R. M. Marinho and L. Boanerges Peixoto, Charge renormalization of the Yang-Mills theory up to fourth order using dimensional regularization , Nuovo Cim. A97
1987
Earlier work this paper cites.
I. Affleck and A. W. W. Ludwig, Universal noninteger ’ground state degeneracy’ in critical quantum systems , Phys. Rev. Lett. 67
1991
Earlier work this paper cites.

Similar

J. M. Maldacena, Wilson loops in large N field theories , Phys. Rev. Lett. 80
1998
Cited alongside, same era.
J. K. Erickson, G. W. Semenoff and K. Zarembo, Wilson loops in N=4 supersymmetric Yang-Mills theory , Nucl. Phys. B582
2000
Cited alongside, same era.
S.-J. Rey and J.-T. Yee, Macroscopic strings as heavy quarks in large N gauge theory and anti-de Sitter supergravity , Eur. Phys. J. C22
2001
Cited alongside, same era.
D. Grabner, N. Gromov and J. Julius, Excited States of One-Dimensional Defect CFTs from the Quantum Spectral Curve , JHEP 07
Original
2001
Cited alongside, same era.
N. Drukker and D. J. Gross, An Exact prediction of N=4 SUSYM theory for string theory , J. Math. Phys. 42
2001
Cited alongside, same era.