scholarly journals OPE between the Energy-Momentum Tensor and the Wilson Loop in Super-Yang-Mills Theory

2001 ◽  
Vol 106 (2) ◽  
pp. 255-292 ◽  
Author(s):  
Takehiro Azuma ◽  
Hikaru Kawai
2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Wolfgang Mück

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.


1999 ◽  
Vol 1999 (08) ◽  
pp. 013-013 ◽  
Author(s):  
Stefan Förste ◽  
Debashis Ghoshal ◽  
Stefan Theisen

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Alberto Escalante ◽  
Irving García

The covariant canonical analysis for Yang-Mills theory expressed as a BF-like action is performed. We study a BF-like action, that in spite of being the coupling of two topological terms, yield, on shell to Yang-Mills action. In addition, by using the results obtained in the covariant canonical approach we study the symmetries of the action, in particular we calculate its energy-momentum tensor obtaining the same tensor found for Yang-Mills theory; then we confirm those results by using Noether's theorem.


2020 ◽  
Vol 102 (11) ◽  
Author(s):  
Ryosuke Yanagihara ◽  
Masakiyo Kitazawa ◽  
Masayuki Asakawa ◽  
Tetsuo Hatsuda

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