the coordinate transformation allows the exact calculation of some electrode configurations. in this paper the prolate spherical coordination transformation is used to calculate the field of a hyperboloiderod against plan electrode. the exact field is caculated using two new parameters: 1) electrodes spacing and 2) the radius of curvature of the tip of the rod electrode. the partial discharge i...

I derive an exact integral expression for the ratio of shear viscosity over entropy density $\frac{\eta}{s}$ massless (critical) O(N) model at large N with quartic interactions. The calculation is set up and performed entirely from field theory side using a non-perturbative resummation scheme that captures all contributions to leading order in N. In 2+1d, evaluated numerically values coupling. ...