Holographic Wilson loops, Hamilton-Jacobi equation, and regularizations
Holographic Wilson loops, Hamilton-Jacobi equation, and regularizations
The minimal area for surfaces whose borders are rectangular and circular loops are calculated using the Hamilton-Jacobi (HJ) equation. This amounts to solving the HJ equation for the value of the minimal area, without calculating the shape of the corresponding surface. This is done for bulk geometries that are asymptotically …