Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-08-28
Physics
High Energy Physics
High Energy Physics - Theory
45 pages LaTeX, 3 figures
Scientific paper
The aim of this article is to calculate (to first order in $\hbar$) the renormalized effective action of a self interacting massive scalar field propagating in the space-time due to a cylindrically symmetric, rotating body. The vacuum (exterior space-time) contribution is model independent, we also consider the simplest case of a core (interior space-time) model, namely a cylindrical shell. The heat kernel of the system is calculated, and used to obtain an expression for the determinant of the Klein-Gordon operator on the space-time manifold. New ultra-violet poles are discovered, and regularization techniques are then employed to render finite the Klein-Gordon determinant and consequently extract the regularized one loop effective action for a self interacting scalar field theory. The coupling constants of the theory are then renormalized. As a test case a conical singularity with non-zero flux is also considered.
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