Electromagnetic Casimir densities induced by a conducting cylindrical shell in the cosmic string spacetime

Mello, E. R. Bezerra de; Bezerra, V. B.; Saharian, A. A.

doi:10.1016/j.physletb.2006.12.052

Cited by 82 publications

(56 citation statements)

References 38 publications

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“…This is the well-known Casimir effects. The analysis of Casimir effects in the idealized cosmic string space-time have been developed for a scalar [33], vector [34] and fermionic fields [35], obeying boundary conditions on the cylindrical surfaces. 2 Additionally to the contribution for the energy-momentum tensor associated with charged quantum fields, the presence of a magnetic flux along the cosmic string induces vacuum current densities, as well.…”

Section: Introductionmentioning

confidence: 99%

Induced fermionic current densities by magnetic flux in higher dimensional cosmic string spacetime

Mello¹

2010

Class. Quantum Grav.

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In this paper we analyse the vacuum fluctuations of quantum fermionic current densities, j A (x) , induced by a magnetic flux running along the core of the conical space produced by the presence of cosmic string, in a (1 + d)−dimensional bulk, for 2 ≤ d ≤ 5. In order to develop this investigation we construct an expression for the fermionic propagator, which can be applied for those different dimensions of the spacetime. Two specific analysis for the induced current densities are presented: (i) for massless fields in three and four dimensions, and (ii) for massive fields in all dimensions considered. In the latter specific values for the parameters which codify the presence of the cosmic string and the fractional part of the ratio of the magnetic flux by the quantum one are considered. Although being a very special situation and somewhat unnatural, the corresponding analysis of induced fermionic current densities under this circumstance may shed light on the qualitative behavior of these quantities in a more general situation.

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Section: Introductionmentioning

confidence: 99%

Induced fermionic current densities by magnetic flux in higher dimensional cosmic string spacetime

Mello¹

2010

Class. Quantum Grav.

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“…The corresponding Casimir densities for the electromagnetic field with perfect conductor boundary conditions on bounding surfaces are considered in [30]. The closely related problem with a cylindrical shell in the geometry of a cosmic string is discussed in [31,32] for scalar and electromagnetic fields. In both scalar and electromagnetic cases the application of a variant of the generalized Abel-Plana formula [24] enables to extract from the vacuum expectation values the parts corresponding to the geometry of a wedge without the cylindrical shell and to present the shell induced parts in terms of rapidly converging integrals.…”

Section: Introductionmentioning

confidence: 99%

Wightman function and scalar Casimir densities for a wedge with two cylindrical boundaries

Saharian

Tarloyan

2008

Annals of Physics

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Wightman function, the vacuum expectation values of the field square and the energymomentum tensor are investigated for a massive scalar field with general curvature coupling parameter inside a wedge with two coaxial cylindrical boundaries. It is assumed that the field obeys Dirichlet boundary condition on bounding surfaces. The application of a variant of the generalized Abel-Plana formula enables to extract from the expectation values the contribution corresponding to the geometry of a wedge with a single shell and to present the interference part in terms of exponentially convergent integrals. The local properties of the vacuum are investigated in various asymptotic regions of the parameters. The vacuum forces acting on the boundaries are presented as the sum of self-action and interaction terms. It is shown that the interaction forces between the separate parts of the boundary are always attractive. The generalization to the case of a scalar field with Neumann boundary condition is discussed.

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“…The case D = 3 has been considered previously in [40]. The electromagnetic field is conformally invariant in D = 3 and the modes (2.4) and (2.5) coincide with the Minkowskian modes having the time dependence e −iωη .…”

Section: Cylindrical Electromagnetic Modesmentioning

confidence: 95%

Electromagnetic vacuum fluctuations around a cosmic string in de Sitter spacetime

2017

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The electromagnetic field correlators are evaluated around a cosmic string in background of (D + 1)-dimensional dS spacetime assuming that the field is prepared in the Bunch-Davies vacuum state. The correlators are presented in the decomposed form where the string-induced topological parts are explicitly extracted. With this decomposition, the renormalization of the local vacuum expectation values (VEVs) in the coincidence limit is reduced to the one for dS spacetime in the absence of the cosmic string. The VEVs of the squared electric and magnetic fields, and of the vacuum energy density are investigated. Near the string they are dominated by the topological contributions and the effects induced by the background gravitational field are small. In this region, the leading terms in the topological contributions are obtained from the corresponding VEVs for a string on the Minkowski bulk multiplying by the conformal factor. At distances from the string larger than the curvature radius of the background geometry, the pure dS parts in the VEVs dominate. In this region, for spatial dimensions D > 3, the influence of the gravitational field on the topological contributions is crucial and the corresponding behavior is essentially different from that for a cosmic string on the Minkowski bulk. There are well-motivated inflationary models which produce cosmic strings. We argue that, as a consequence of the quantum-to-classical transition of super-Hubble electromagnetic fluctuations during inflation, in the post-inflationary era these strings will be surrounded by large-scale stochastic magnetic fields. These fields could be among the distinctive features of the cosmic strings produced during the inflation and also of the corresponding inflationary models.

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Electromagnetic Casimir densities induced by a conducting cylindrical shell in the cosmic string spacetime

Cited by 82 publications

References 38 publications

Induced fermionic current densities by magnetic flux in higher dimensional cosmic string spacetime

Induced fermionic current densities by magnetic flux in higher dimensional cosmic string spacetime

Wightman function and scalar Casimir densities for a wedge with two cylindrical boundaries

Electromagnetic vacuum fluctuations around a cosmic string in de Sitter spacetime

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