Vacuum expectation values in non-trivial background space from three types of UV improved Green's functions

Abstract

We evaluate the quantum expectation values in non-simply connected spaces by using UV improved Green's functions proposed by Padmanabhan, Abel, and Siegel. It is found that the results from these three types of Green's functions behave similarly under changes of scales, but have minute differences. Prospects in further applications are briefly discussed.

28 pages, 42 figures. final version