Algebraic curve for a cusped Wilson line

作者：Sizov Grigory^*; Valatka Saulius

来源：The Journal of High Energy Physics, 2014, 2014(5): 149.

DOI：10.1007/JHEP05(2014)149

• Matrix Models
• Wilson
• 't Hooft and Polyakov loops
• AdS-CFT Correspondence
• Integrable Field Theories

We consider the classical limit of the recently obtained exact near-BPS result for the anomalous dimension of a cusped Wilson line with the insertion of an operator with L units of R-charge at the cusp in planar N = 4 SYM. The classical limit requires taking both the 't Hooft coupling and L to infinity. Since the formula for the cusp anomalous dimension involves determinants of size proportional to L, the classical limit requires a matrix model reformulation of the result. Building on results of Gromov and Sever, we construct such a matrix model-like representation and find the corresponding classical algebraic curve. Using this we find the classical value of the cusp anomalous dimension and the 1-loop correction to it. We check our results against the energy of the classical solution and numerically by extrapolating from the quantum regime of finite L.

• 出版日期2014-5-30