scholarly journals Correlators of supersymmetric Wilson loops at weak and strong coupling

2010 ◽  
Vol 2010 (3) ◽  
Author(s):  
Antonio Bassetto ◽  
Luca Griguolo ◽  
Fabrizio Pucci ◽  
Domenico Seminara ◽  
Shiyamala Thambyahpillai ◽  
...  
Keyword(s):  
Strong Coupling ◽  
Wilson Loops

scholarly journals On topological recursion for Wilson loops in $$ \mathcal{N} $$ = 4 SYM at strong coupling

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
M. Beccaria ◽  
A. Hasan
Keyword(s):  
Strong Coupling ◽  
Matrix Model ◽  
Wilson Loops ◽  
Expectation Value ◽  
Yang Mills ◽  
Usual Procedure ◽  
Topological Recursion ◽  
Sample Application ◽  
Single Trace ◽  
Genus Expansion

Abstract We consider U(N) $$ \mathcal{N} $$ N = 4 super Yang-Mills theory and discuss how to extract the strong coupling limit of non-planar corrections to observables involving the $$ \frac{1}{2} $$ 1 2 -BPS Wilson loop. Our approach is based on a suitable saddle point treatment of the Eynard-Orantin topological recursion in the Gaussian matrix model. Working directly at strong coupling we avoid the usual procedure of first computing observables at finite planar coupling λ, order by order in 1/N, and then taking the λ ≫ 1 limit. In the proposed approach, matrix model multi-point resolvents take a simplified form and some structures of the genus expansion, hardly visible at low order, may be identified and rigorously proved. As a sample application, we consider the expectation value of multiple coincident circular supersymmetric Wilson loops as well as their correlator with single trace chiral operators. For these quantities we provide novel results about the structure of their genus expansion at large tension, generalising recent results in arXiv:2011.02885.

scholarly journals Lattice study of area law for double-winding Wilson loops

2018 ◽  
Vol 175 ◽  
pp. 12010
Author(s):  
Akihiro Shibata ◽  
Seikou Kato ◽  
Kei-Ichi Kondo ◽  
Ryutaro Matsudo
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Strong Coupling ◽  
Wilson Loop ◽  
Strong Coupling Expansion ◽  
Wilson Loops ◽  
Yang Mills ◽  
Lattice Monte Carlo ◽  
Area Law

We study the double-winding Wilson loops in the SU(N) Yang-Mills theory on the lattice. We discuss how the area law falloff of the double-winding Wilson loop average is modified by changing the enclosing contours C1 and C2 for various values of the number of color N. By using the strong coupling expansion, we evaluate the double-winding Wilson loop average in the lattice SU(N) Yang-Mills theory. Moreover, we compute the double-winding Wilson loop average by lattice Monte Carlo simulations for SU(2) and SU(3). We further discuss the results from the viewpoint of the Non-Abelian Stokes theorem in the higher representations.

scholarly journals GLUON SCATTERING AMPLITUDES FROM GAUGE/STRING DUALITY AND INTEGRABILITY

2013 ◽  
Vol 21 ◽  
pp. 1-21
Author(s):  
YUJI SATOH
Keyword(s):  
Perturbation Theory ◽  
Scattering Amplitudes ◽  
String Duality ◽  
Bethe Ansatz ◽  
Strong Coupling ◽  
Minimal Surfaces ◽  
Wilson Loops ◽  
Thermodynamic Bethe Ansatz ◽  
Yang Mills ◽  
Sine Gordon Model

We discuss gluon scattering amplitudes/null-polygonal Wilson loops of [Formula: see text] super Yang-Mills theory at strong coupling based on the gauge/string duality and its underlying integrability. We focus on the amplitudes/Wilson loops corresponding to the minimal surfaces in AdS3, which are described by the thermodynamic Bethe ansatz equations of the homogeneous sine-Gordon model. Using conformal perturbation theory and an interesting relation between the g-function (boundary entropy) and the T-function, we derive analytic expansions around the limit where the Wilson loops become regular-polygonal. We also compare our analytic results with those at two loops, to find that the rescaled remainder functions are close to each other for all multi-point amplitudes.

scholarly journals Regular Wilson loops and MHV amplitudes at weak and strong coupling

2010 ◽  
Vol 2010 (6) ◽  
Author(s):  
Paul Heslop ◽  
Valentin V. Khoze
Keyword(s):  
Strong Coupling ◽  
Wilson Loops

ASYMPTOTIC AdS STRING SOLUTIONS FOR NULL POLYGONAL WILSON LOOPS IN R1,2

2010 ◽  
Vol 25 (30) ◽  
pp. 2555-2569 ◽  
Author(s):  
SHIJONG RYANG
Keyword(s):  
Asymptotic Behavior ◽  
Strong Coupling ◽  
Wilson Loop ◽  
Scattering Amplitude ◽  
Wilson Loops ◽  
String Solution ◽  
Reality Condition ◽  
Linear Problems ◽  
Two Parameters

For the asymptotic string solution in AdS3 which is represented by the AdS3 Poincaré coordinates and yields the planar multi-gluon scattering amplitude at strong coupling in arXiv:0904.0663, we express it by the AdS4 Poincaré coordinates and demonstrate that the hexagonal and octagonal Wilson loops surrounding the string surfaces take closed contours consisting of null vectors in R1,2 owing to the relations of Stokes matrices. For the tetragonal Wilson loop we construct a string solution characterized by two parameters by solving the auxiliary linear problems and demanding a reality condition, and analyze the asymptotic behavior of the solution in R1,2. The freedoms of two parameters are related with some conformal SO(2,4) transformations.

scholarly journals Wilson loops in circular quiver SCFTs at strong coupling

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Hao Ouyang
Keyword(s):  
Strong Coupling ◽  
Wilson Loops ◽  
Expectation Values ◽  
Hooft Coupling

Abstract We study circular BPS Wilson loops in the $$ \mathcal{N} $$ N = 2 superconformal n-node quiver theories at large N and strong ’t Hooft coupling by using localization. We compute the expectation values of Wilson loops in the limit when the ’t Hooft couplings are hierarchically different and when they are nearly equal. Based on these results, we make a conjecture for arbitrary strong couplings.

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