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

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 expre...

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Bibliographic Details
Published in:Journal of mathematical physics 2006-01, Vol.47 (1), p.012302-012302-14
Main Author: Bezerra de Mello, E. R.
Format: Article
Language:English
Subjects:
EUCLIDEAN SPACE
Exact sciences and technology
EXPECTATION VALUE
GEOMETRY
GREEN FUNCTION
KALUZA-KLEIN THEORY
MAGNETIC MONOPOLES
Magnetism
Mathematical methods in physics
Mathematics
Physics
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM ELECTRODYNAMICS
SCALAR FIELDS
Sciences and techniques of general use
SPACE-TIME
Time
VACUUM POLARIZATION
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Summary: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 ⟨ Φ * ( x ) Φ ( x ) ⟩ Ren , which by its turn is also expressed as the sum of two contributions.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.2159071