One-loop analysis with nonlocal boundary conditions
High Energy Physics - Theory
2019-03-27 v2 Mathematical Physics
math.MP
Abstract
In the eighties, Schroder studied a quantum mechanical model where the stationary states of Schrodinger's equation obey nonlocal boundary conditions on a circle in the plane. For such a problem, we perform a detailed one-loop calculation for three choices of the kernel characterizing the nonlocal boundary conditions. In such cases, the zeta(0) value is found to coincide with the one resulting from Robin boundary conditions. The detailed technique here developed may be useful for studying one-loop properties of quantum field theory and quantum gravity if nonlocal boundary conditions are imposed.
Cite
@article{arxiv.1812.03878,
title = {One-loop analysis with nonlocal boundary conditions},
author = {Giampiero Esposito and Elisabetta Di Grezia},
journal= {arXiv preprint arXiv:1812.03878},
year = {2019}
}
Comments
17 pages, Revtex4. In the final version, the presentation in section 5 has been improved, and important References have been added