Vacuum polarization effects on flat branes due to a global monopole

Mello, E. R. Bezerra de

doi:10.1103/physrevd.73.105015

Cited by 14 publications

(9 citation statements)

References 38 publications

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“…In the case with even d and odd n (in particular, for the (4,3)-type of a spacetime) the VEVs of φ 2 ren and T MN ren contain logarithmic factor. We are in agreement with [20,30] in the pre-logarithmic coefficient. Concerning the non-logarithmic term in T MN ren , we restrict its arbitrariness by the single arbitrary parameter, fixing the more wide freedom in [30].…”

Section: Vacuum Polarization Near Cosmic String Revisitedsupporting

confidence: 89%

Vacuum polarization and classical self-action near higher-dimensional defects

Grats

Spirin

2017

Eur. Phys. J. C

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We analyze the gravity-induced effects associated with a massless scalar field in a higherdimensional spacetime being the tensor product of (d − n)-dimensional Minkowski space and ndimensional spherically/cylindrically-symmetric space with a solid/planar angle deficit. These spacetimes are considered as simple models for a multidimensional global monopole (if n 3) or cosmic string (if n = 2) with (d − n − 1) flat extra dimensions. Thus, we refer to them as conical backgrounds. In terms of the angular deficit value, we derive the perturbative expression for the scalar Green's function, valid for any d 3 and 2 n d − 1, and compute it to the leading order. With the use of this Green's function we compute the renormalized vacuum expectation value of the field square φ 2 (x) ren and the renormalized vacuum averaged of the scalar-field's energy-momentum tensor TMN (x) ren for arbitrary d and n from the interval mentioned above and arbitrary coupling constant to the curvature ξ.In particular, we revisit the computation of the vacuum polarization effects for a non-minimally coupled massless scalar field in the spacetime of a straight cosmic string.The same Green's function enables to consider the old purely classical problem of the gravityinduced self-action of a classical pointlike scalar or electric charge, placed at rest at some fixed point of the space under consideration.To deal with divergences, which appear in consideration of the both problems, we apply the dimensional-regularization technique, widely used in quantum field theory (QFT). The explicit dependence of the results upon the dimensionalities of both the bulk and conical submanifold, is discussed. *

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Section: Vacuum Polarization Near Cosmic String Revisitedsupporting

confidence: 89%

Vacuum polarization and classical self-action near higher-dimensional defects

Grats

Spirin

2017

Eur. Phys. J. C

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“…In this case the Green function is presented as an image sum of the Green functions corresponding to the geometry which has a structure of a p-dimensional Minkowskian brane with a global monopole in transverse dimensions. The vacuum polarization in the latter geometry is considered in [16] and our main interest here are the effects induced by the cosmic string. For the points away from the cores of the topological defects the corresponding part in the Green function is finite in the coincidence limit and can be directly used for the evaluation of the vacuum expectation values of the field square and the energy-momentum tensor.…”

Section: Resultsmentioning

confidence: 99%

“…The analysis of the vacuum expectation values (VEVs) associated with a massless scalar field in a spacetime defined by (2) in the absence of cosmic string has been presented in [16]. Here we are mainly interested in quantum effects induced by the presence of the string.…”

Section: Special Casementioning

confidence: 99%

“…The analysis of quantum effects produced by a massless scalar field propagating in the bulk described by m = 2 version of line-element (1) has been developed in [16] (for the investigation of the quantum vacuum effects in higher dimensional braneworld models with compact internal spaces see [17]- [20]). Continuing in this direction, our interest here is to investigate the quantum effects induced also by the conical structure of the brane.…”

Section: Introductionmentioning

confidence: 99%

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Vacuum polarization by a composite topological defect

Mello

Saharian

2006

Physics Letters B

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In this paper we analyze one-loop quantum effects of a scalar field induced by a composite topological defect consisting a cosmic string on a p-dimensional brane and a (m + 1)-dimensional global monopole in the transverse extra dimensions. The corresponding Green function is presented as a sum of two terms. The first one corresponds to the bulk where the cosmic string is absent and the second one is induced by the presence of the string. For the points away from the cores of the topological defects the latter is finite in the coincidence limit and is used for the evaluation of the vacuum expectation values of the field square and energy-momentum tensor.

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“…To do that, we have to construct the Green and Hadamard functions up to this order. Developing a long calculation [20], we finally get a non-vanishing result:…”

Section: 1 Five Dimensional Spacetimementioning

confidence: 99%

Vacuum Polarization Effects in Higher Dimensional Global Monopole Spacetime

Mello

Pessoa²,

Postal³

2007

Proceedings of Fifth International Conference on Mathematical Methods in Physics — PoS(IC2006)

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In this paper we analyse the vacuum polarization effects associated with a massless scalar field in higher-dimensional global monopole spacetime. Specifically we calculate the renormalized vacuum expectation value of the field square, Φ 2 (x) Ren , induced by a global monopole. Two different spacetimes will be considered: i) In the first, the global monopole lives in whole universe, and ii) in the second, the global monopole lives in a n = 3 dimensional sub-manifold of the higher-dimensional (bulk) spacetime in the "braneworld" scenario. In order to develop these analysis we calculate the general Euclidean scalar Green function for both spacetimes. Also a general curvature coupling parameter between the field and the geometry is admitted. We explicitly show that Φ 2 (x) Ren depends crucially on the dimension of the spacetime and on the specific geometry adopted to describe the world. We also investigate the general structure of the renormalized vacuum expectation value of the energymomentum tensor, T µν (x) Ren. .

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Vacuum polarization effects on flat branes due to a global monopole

Cited by 14 publications

References 38 publications

Vacuum polarization and classical self-action near higher-dimensional defects

Vacuum polarization and classical self-action near higher-dimensional defects

Vacuum polarization by a composite topological defect

Vacuum Polarization Effects in Higher Dimensional Global Monopole Spacetime

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