Abstract:
For the $\sigma$-model and Nambu-Goto actions, values of the Alday-Maldacena-regularized actions are calculated on solutions of the equations of motion with constant non-regularized Lagrangian. It turns out that these values coincide up to a factor, independent of boundary conditions.
Citation:
A. Popolitov, “On coincidence of Alday-Maldacena-regularized $\sigma$-model and Nambu-Goto areas of minimal surfaces”, Pis'ma v Zh. Èksper. Teoret. Fiz., 86:9 (2007), 643–645; JETP Letters, 86:9 (2007), 559–561