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

@article{Beccaria2022HigherOR,
  title={Higher order RG flow on the Wilson line in 
 
 
 
 
 N
 
 \$\$ \mathcal\{N\} \$\$
 = 4 SYM},
  author={Matteo Beccaria and Simone Giombi and Arkady A. Tseytlin},
  journal={Journal of High Energy Physics},
  year={2022},
  volume={2022},
  pages={1-28}
}
Extending earlier work, we find the two-loop term in the beta-function for the scalar coupling ζ in a generalized Wilson loop operator of the N $$ \mathcal{N} $$ = 4 SYM theory, working in the planar weak-coupling expansion. The beta-function for ζ has fixed points at ζ = ±1 and ζ = 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… 

References

SHOWING 1-10 OF 11 REFERENCES
On non-supersymmetric generalizations of the Wilson–Maldacena loops in N=4 SYM
Abstract Building on our previous work arXiv:1712.06874 we consider one-parameter Polchinski–Sully generalization of the Wilson–Maldacena (WM) loops in planar N = 4 SYM theory. This breaks local
Half-BPS Wilson loop and AdS2/CFT1
Abstract We study correlation functions of local operator insertions on the 1/2-BPS Wilson line in N = 4 super Yang–Mills theory. These correlation functions are constrained by the 1d superconformal
The Wilson loop CFT: insertion dimensions and structure constants from wavy lines
We study operator insertions into the 1/2 BPS Wilson loop in N = 4 SYM theory and determine their two-point coefficients, anomalous dimensions and structure constants. The calculation is done for t
Localization of Gauge Theory on a Four-Sphere and Supersymmetric Wilson Loops
We prove conjecture due to Erickson-Semenoff-Zarembo and Drukker-Gross which relates supersymmetric circular Wilson loop operators in the $${\mathcal N=4}$$ supersymmetric Yang-Mills theory with a
Comments on gluon scattering amplitudes via AdS/CFT
In this article we consider n gluon color ordered, planar amplitudes in = 4 super Yang Mills at strong 't Hooft coupling. These amplitudes are approximated by classical surfaces in AdS5 space. We
Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
Abstract. We study some aspects of Maldacena's large-N correspondence between ${\cal N}=4$ superconformal gauge theory on the D3-brane and maximal supergravity on AdS$_5 \times S_5$ by introducing
An exact prediction of
We propose that the expectation value of a circular BPS-Wilson loop in N=4 supersymmetric Yang--Mills can be calculated exactly, to all orders in a 1/N expansion and to all orders in g{sup 2}N. Using
Gauge fields as rings of glue
Abstract In this paper we take the view that gauge fields can be considered as chiral fields on a loop space, both in classical and in quantum theories. As a result, gauge interactions are
Quantum contour field equations
Abstract The renormalization procedure for fields on a contour is considered. It is shown that in a quantum string-like equation for a non-abelian contour field the mass term has the correct sign.
Renormalizability of phase factors in non-abelian gauge theory
The phase factor P exp(e∳C Aμ d xμ) = ψ(C) for Yang-Mills theory is studied. The renormalizability of this phase factor is proved.
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