Seminario Elisabetta Di Grezia "One-loop analysis with nonlocal boundary conditions"

Tuesday 9 Jul 2019, 14:00 → 15:00 Europe/Rome

2N44

We consider a quantum mechanical model studied by Schröder, where the stationary states of Schrödinger’s equation obey nonlocal boundary conditions on a circle in the plane.

For such a problem, we perform the first z(0) calculation, following Moss-Scheme,  for three choices of the kernel characterizing the nonlocal boundary conditions.

In these cases, the z(0) value is found to reduce to the one resulting from (local) Robin boundary conditions.

This technique may be useful for studying one-loop properties of quantum field theory and quantum gravity if nonlocal boundary conditions are imposed.