Erratum: Wilson loops in N = 2 super-Yang-Mills from matrix model

2011 ◽  
Vol 2011 (10) ◽  
Author(s):  
F. Passerinia ◽  
K. Zarembo
Keyword(s):  
Matrix Model ◽  
Wilson Loops ◽  
Yang Mills

scholarly journals Exact 1/N expansion of Wilson loop correlators in $$ \mathcal{N} $$ = 4 Super-Yang-Mills theory

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Wolfgang Mück
Keyword(s):  
Matrix Model ◽  
Wilson Loop ◽  
Model Solution ◽  
Wilson Loops ◽  
Combinatorial Formula ◽  
Expectation Value ◽  
Yang Mills ◽  
Hooft Coupling ◽  
The Matrix ◽  
Super Yang Mills Theory

Abstract Supersymmetric circular Wilson loops in $$ \mathcal{N} $$ N = 4 Super-Yang-Mills theory are discussed starting from their Gaussian matrix model representations. Previous results on the generating functions of Wilson loops are reviewed and extended to the more general case of two different loop contours, which is needed to discuss coincident loops with opposite orientations. A combinatorial formula representing the connected correlators of multiply wound Wilson loops in terms of the matrix model solution is derived. Two new results are obtained on the expectation value of the circular Wilson loop, the expansion of which into a series in 1/N and to all orders in the ’t Hooft coupling λ was derived by Drukker and Gross about twenty years ago. The connected correlators of two multiply wound Wilson loops with arbitrary winding numbers are calculated as a series in 1/N. The coefficient functions are derived not only as power series in λ, but also to all orders in λ by expressing them in terms of the coefficients of the Drukker and Gross series. This provides an efficient way to calculate the 1/N series, which can probably be generalized to higher-point correlators.

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 Wilson loops in N = 2 super-Yang-Mills from matrix model

2011 ◽  
Vol 2011 (9) ◽  
Author(s):  
F. Passerini ◽  
K. Zarembo
Keyword(s):  
Matrix Model ◽  
Wilson Loops ◽  
Yang Mills

scholarly journals MHV amplitudes in super-Yang–Mills and Wilson Loops

2008 ◽  
Vol 794 (1-2) ◽  
pp. 231-243 ◽  
Author(s):  
Andreas Brandhuber ◽  
Paul Heslop ◽  
Gabriele Travaglini
Keyword(s):  
Wilson Loops ◽  
Yang Mills

scholarly journals Instanton corrections to circular Wilson loops in Script N = 4 Supersymmetric Yang-Mills

2002 ◽  
Vol 2002 (04) ◽  
pp. 040-040 ◽  
Author(s):  
Massimo Bianchi ◽  
Michael B Green ◽  
Stefano Kovacs
Keyword(s):  
Wilson Loops ◽  
Yang Mills

scholarly journals Thermal phase transition in Yang-Mills matrix model

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Georg Bergner ◽  
Norbert Bodendorfer ◽  
Masanori Hanada ◽  
Enrico Rinaldi ◽  
Andreas Schäfer ◽  
...  
Keyword(s):  
Phase Transition ◽  
Matrix Model ◽  
Yang Mills ◽  
Thermal Phase Transition ◽  
Thermal Phase

scholarly journals Supersymmetric Wilson loops in a type-IIB matrix model

1997 ◽  
Vol 56 (12) ◽  
pp. R7503-R7506 ◽  
Author(s):  
Ken-ji Hamada
Keyword(s):  
Matrix Model ◽  
Wilson Loops

scholarly journals Non-commutative Yang–Mills in IIB matrix model

2000 ◽  
Vol 565 (1-2) ◽  
pp. 176-192 ◽  
Author(s):  
Hajime Aoki ◽  
Nobuyuki Ishibashi ◽  
Satoshi Iso ◽  
Hikaru Kawai ◽  
Yoshihisa Kitazawa ◽  
...  
Keyword(s):  
Matrix Model ◽  
Yang Mills

scholarly journals Hedgehogs in Wilson loops and phase transition in SU(2) Yang–Mills theory

2006 ◽  
Vol 748 (3) ◽  
pp. 524-539 ◽  
Author(s):  
V.A. Belavin ◽  
M.N. Chernodub ◽  
I.E. Kozlov
Keyword(s):  
Phase Transition ◽  
Wilson Loops ◽  
Yang Mills
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