Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-11-16
J.Math.Phys.47:012302,2006
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, no figure, accepted for publication in the Journal of Mathematical Physics
Scientific paper
10.1063/1.2159071
In this paper we present, in a integral form, the Euclidean Green function associated with a massless scalar field in the five-dimensional Kaluza-Klein magnetic monopole superposed to a global monopole, admitting a non-trivial coupling between the field with the geometry. This Green function is expressed as the sum of two contributions: the first one related with uncharged component of the field, is similar to the Green function associated with a scalar field in a four dimensional global monopole spacetime. The second contains the information of all the other components. Using this Green function it is possible to study the vacuum polarization effects on this spacetime. Explicitly we calculate the renormalized vacuum expectation value $<\Phi^*(x)\Phi(x)>_{Ren}$, which by its turn is also expressed as the sum of two contributions.
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