Vacuum energy for static, cylindrically symmetric systems
Abstract
In my previous thesis for the Undergraduate Research Scholars program I have calculated, both in terms of the scalar field and in terms of the cylinder kernel, the components of the stress-energy tensor of a quantized scalar field for a static, cylindrically symmetric system in the case of locally flat space. I then took these components and expressed them in terms of the known cylinder kernel in cylindrical coordinates. Using these results, I examine the vacuum energy density and pressure in some detail for several different cylindrically symmetric space-times. Results are presented for point-splitting along the t direction, and also for point-splitting along z. Geometries studied include flat space, a cone with various deficit angles, an infinite wedge, and the infinite-sheeted Sommerfeld-Dowker manifold. For all of these cases, the energy density and three pressure components are given for
xi = 1/4 coupling, and the correction terms for other values of xi are given as well.
Citation
Trendafilova, Cynthia (2012). Vacuum energy for static, cylindrically symmetric systems. Honors and Undergraduate Research. Available electronically from https : / /hdl .handle .net /1969 .1 /148818.