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Title: The Euclidean scalar Green function in the five-dimensional Kaluza-Klein magnetic monopole space-time

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.2159071· OSTI ID:20768708
 [1]
  1. Departamento de Fisica-CCEN, Universidade Federal da Paraiba, C. Postal 5.008, J. Pessoa, PB 58.059-970 (Brazil)

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 nontrivial 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 space-time. 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 space-time. Explicitly we calculate the renormalized vacuum expectation value <{phi}{sup *}(x){phi}(x)>{sub Ren}, which by its turn is also expressed as the sum of two contributions.

OSTI ID:
20768708
Journal Information:
Journal of Mathematical Physics, Vol. 47, Issue 1; Other Information: DOI: 10.1063/1.2159071; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
Country of Publication:
United States
Language:
English

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