Wilson loop and its correlators in the limit of large coupling constant

Sysoeva, Ekaterina

doi:10.1016/j.nuclphysb.2018.09.015

Cited by 3 publications

(7 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Here we will consider the limiting case when the loops have the same radii and are coincident. In this case the correlator W n can be found exactly using the matrix model methods [2,39,41]. Our aim below will be to work out the large N , large λ expansion of such correlators.…”

Section: Correlators Of Coincident Circular Wilson Loopsmentioning

confidence: 99%

On the structure of non-planar strong coupling corrections to correlators of BPS Wilson loops and chiral primary operators

Beccaria

Tseytlin

2021

J. High Energ. Phys.

View full text Add to dashboard Cite

Starting with some known localization (matrix model) representations for correlators involving 1/2 BPS circular Wilson loop $$ \mathcal{W} $$ W in $$ \mathcal{N} $$ N = 4 SYM theory we work out their 1/N expansions in the limit of large ’t Hooft coupling λ. Motivated by a possibility of eventual matching to higher genus corrections in dual string theory we follow arXiv:2007.08512 and express the result in terms of the string coupling $$ {g}_{\mathrm{s}}\sim {g}_{\mathrm{YM}}^2\sim \lambda /N $$ g s ∼ g YM 2 ∼ λ / N and string tension $$ T\sim \sqrt{\lambda } $$ T ∼ λ . Keeping only the leading in 1/T term at each order in gs we observe that while the expansion of $$ \left\langle \mathcal{W}\right\rangle $$ W is a series in $$ {g}_{\mathrm{s}}^2/T $$ g s 2 / T , the correlator of the Wilson loop with chiral primary operators $$ {\mathcal{O}}_J $$ O J has expansion in powers of $$ {g}_{\mathrm{s}}^2/{T}^2 $$ g s 2 / T 2 . Like in the case of $$ \left\langle \mathcal{W}\right\rangle $$ W where these leading terms are known to resum into an exponential of a “one-handle” contribution $$ \sim {g}_{\mathrm{s}}^2/T $$ ∼ g s 2 / T , the leading strong coupling terms in $$ \left\langle {\mathcal{WO}}_J\right\rangle $$ WO J sum up to a simple square root function of $$ {g}_{\mathrm{s}}^2/{T}^2 $$ g s 2 / T 2 . Analogous expansions in powers of $$ {g}_{\mathrm{s}}^2/T $$ g s 2 / T are found for correlators of several coincident Wilson loops and they again have a simple resummed form. We also find similar expansions for correlators of coincident 1/2 BPS Wilson loops in the ABJM theory.

show abstract

Section: Correlators Of Coincident Circular Wilson Loopsmentioning

confidence: 99%

On the structure of non-planar strong coupling corrections to correlators of BPS Wilson loops and chiral primary operators

Beccaria

Tseytlin

2021

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…We shall first focus on the analytical continuation of the solution (21)-(23) to the region t > 1 − s, and in particular take the limit t → ∞. By expanding (22) we obtain…”

Section: Analytical Continuation Of the String Solutionsmentioning

confidence: 99%

“…This problem, for the case of concentric circular Wilson loops in N = 4 super Yang-Mills has been extensively studied since the early days of the AdS/CFT correspondence proposal, either by string theory or field theory means [5,6,7,8,9,10,11,12]. Similar problems in other alternative setups have also been considered [13,14,15,16,17,18,19,20,21,22].…”

Section: Introductionmentioning

confidence: 99%

Ladder limit for correlators of Wilson loops

Correa¹,

Pisani²,

Fukelman³

2018

J. High Energ. Phys.

View full text Add to dashboard Cite

Abstract:We study the correlator of concentric circular Wilson loops for arbitrary radii, spatial and internal space separations. For real values of the parameters specifying the dual string configuration, a typical Gross-Ooguri phase transition is observed. In addition, we explore some analytic continuation of a parameter γ that characterizes the internal space separation. This enables a ladder limit in which ladder resummation and string theory computations precisely agree in the strong coupling limit. Finally, we find a critical value of γ for which the correlator is supersymmetric and ladder diagrams can be exactly resummed for any value of the coupling constant.

show abstract

“…Here lies the importance of the study of the holographic Wilson loops correlators: correlators in the strong coupling regime could give hints of glueballs in QCD (see [133,134], and also [26]). Correlator of Wilson loops where also studied perturbatively in [55,56] and in the matrix model in [63,122].…”

Section: Two Connected Wilson Loops With ∆φ =mentioning

confidence: 99%

“…We have not obtained a reliable result for these functions because we need to take better care of the expansions we perform, but we expect that the behavior to be the one we wrote above. A result appeared recently[122] where an approximate expression for the expansion of the factor in front of the squared expression of the horizontal rectangular Wilson loop was obtained.…”

mentioning

confidence: 99%

Aspects of holographic Wilson loops

Romero¹

View full text Add to dashboard Cite

Wilson loop and its correlators in the limit of large coupling constant

Abstract: In this paper we study Wilson loops in various representations for finite and large values of the color gauge group for supersymmetric N = 4 gauge theories. We also compute correlators of Wilson loops in different representations and perform a check with the dual gravitational theory.

Cited by 3 publications

References 13 publications

On the structure of non-planar strong coupling corrections to correlators of BPS Wilson loops and chiral primary operators

On the structure of non-planar strong coupling corrections to correlators of BPS Wilson loops and chiral primary operators

Ladder limit for correlators of Wilson loops

Aspects of holographic Wilson loops

Contact Info

Product

Resources

About