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

被引：1
作者：
de Mello, ERB [1 ]
机构：
[1] Univ Fed Paraiba, CCEN, Dept Fis, BR-58059970 Joao Pessoa, PB, Brazil
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2006年 / 47卷 / 01期
关键词：
D O I：
10.1063/1.2159071
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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(*)(x)Phi(x)>(Ren), which by its turn is also expressed as the sum of two contributions.
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页数：14
相关论文
共 19 条
[1]   GRAVITATIONAL-FIELD OF A GLOBAL MONOPOLE [J].
BARRIOLA, M ;
VILENKIN, A .
PHYSICAL REVIEW LETTERS, 1989, 63 (04) :341-343
[2]  
Birrell N. D., 1984, QUANTUM FIELDS CURVE
[3]   Vacuum polarization for a massless spin-1/2 field in the global monopole spacetime at nonzero temperature [J].
Carvalho, FC ;
de Mello, ERB .
CLASSICAL AND QUANTUM GRAVITY, 2001, 18 (24) :5455-5468
[4]   Vacuum polarization for a massless scalar field in the global monopole spacetime at finite temperature [J].
Carvalho, FC ;
de Mello, ERB .
CLASSICAL AND QUANTUM GRAVITY, 2001, 18 (09) :1637-1649
[5]  
CAVALCANTI AL, 2004, CLASSICAL QUANT GRAV, V21, P1685
[6]   VACUUM EXPECTATION VALUE OF STRESS TENSOR IN AN ARBITRARY CURVED BACKGROUND - COVARIANT POINT-SEPARATION METHOD [J].
CHRISTENSEN, SM .
PHYSICAL REVIEW D, 1976, 14 (10) :2490-2501
[7]   REGULARIZATION, RENORMALIZATION, AND COVARIANT GEODESIC POINT SEPARATION [J].
CHRISTENSEN, SM .
PHYSICAL REVIEW D, 1978, 17 (04) :946-963
[8]   Vacuum polarization effects in the global monopole spacetime in the presence of the Wu-Yang magnetic monopole [J].
de Mello, ERB .
CLASSICAL AND QUANTUM GRAVITY, 2002, 19 (20) :5141-5151
[9]  
de Mello ERB, 2002, J MATH PHYS, V43, P1018, DOI 10.1063/1.1421424
[10]   Vacuum polarization of a massless spinor field in global monopole spacetime [J].
de Mello, ERB ;
Bezerra, VB ;
Khusnutdinov, NR .
PHYSICAL REVIEW D, 1999, 60 (06)
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