Vacuum-polarization effects in global monopole space-times

Mazzitelli, Francisco D.; Lousto, Carlos O.

doi:10.1103/physrevd.43.468

Cited by 57 publications

(119 citation statements)

References 17 publications

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“…For massless fields the VEV of the energy-momentum tensor for the point-like global monopole geometry is investigated in Refs. [5]- [8]. The corresponding renormalized components have the structure similar to that given for the field square:…”

Section: Vacuum Expectation Values Outside the Monopole Corementioning

confidence: 80%

“…The VEVs in the bulk of the idealized point-like global monopole are well-investigated in literature (see, for instance, [5]- [12] and references therein) and in the discussion below we will be mainly concerned with the part induced by the non-trivial core structure. As we see from (29), all information about the inner structure of the global monopole is contained in the logarithmic derivative of the interior radial function in formula (31).…”

Section: Wightman Functionmentioning

confidence: 99%

“…Hence, in the region r > a the renormalization procedure for the local characteristics of the vacuum, such as the field square and the energy-momentum tensor, is the same as for the point-like global monopole geometry. This procedure is discussed in a number of papers (see [5]- [8]). For the renormalization we must subtract the corresponding DeWittSchwinger expansion involving the terms up to order D. For a massless field the renormalized value of the field square has the structure ϕ 2 m,ren = [A + B ln(µr)] /r D−1 , where the coefficients A and B are functions on the parameters σ and ξ only and the arbitrary mass scale µ corresponds to the ambiguity in the renormalization procedure.…”

Section: Vacuum Expectation Values Outside the Monopole Corementioning

confidence: 99%

“…In particular, the explicit calculations of the vacuum polarization caused by particular external fields have played an important role in the development of quantum field theory. The quantum effects due to the point-like global monopole spacetime on the matter fields have been considered for massless scalar [5] and fermionic [6] fields, respectively. In order to develop this analysis, the scalar respectively spinor Green functions in this background have been obtained.…”

Section: Introductionmentioning

confidence: 99%

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Vacuum polarization by a global monopole with finite core

Mello

Saharian

2006

J. High Energy Phys.

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We investigate the effects of a (D + 1)-dimensional global monopole core on the behavior of a quantum massive scalar field with general curvature coupling parameter. In the general case of the spherically symmetric static core, formulae are derived for the Wightman function, for the vacuum expectation values of the field square and the energy-momentum tensor in the exterior region. These expectation values are presented as the sum of point-like global monopole part and the core induced one. The asymptotic behavior of the core induced vacuum densities is investigated at large distances from the core, near the core and for small values of the solid angle corresponding to strong gravitational fields. In particular, in the latter case we show that the behavior of the vacuum densities is drastically different for minimally and non-minimally coupled fields. As an application of general results the flowerpot model for the monopole's core is considered and the expectation values inside the core are evaluated.

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Section: Vacuum Expectation Values Outside the Monopole Corementioning

confidence: 80%

Section: Wightman Functionmentioning

confidence: 99%

Section: Vacuum Expectation Values Outside the Monopole Corementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Vacuum polarization by a global monopole with finite core

Mello

Saharian

2006

J. High Energy Phys.

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“…The complete set of solution of the eq. (26) was considered in the context of quantum fields [29], and it has the following form…”

Section: B Emission Of Radiation By a Particle In The Gravitational mentioning

confidence: 99%

On some classical and quantum effects due to gravitational fields

Bezerra¹

2006

Braz. J. Phys.

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We consider the gravitational fields generated by a cosmic string, a global monopole and a tubular matter with interior magnetic field (Safko-Witten space-time), and examine some classical and quantum effects due to these fields. We investigate the Aharonov-Bohm effect in the space-time of a cosmic string, using the loop variables. In the space-time of a global monopole, we calculate the total energy radiated by a uniformly moving charged scalar particle, for small solid angle deficit. We show that the radiated energy is proportional to the cube of the velocity of the particle and to the cube of the Lorenz factor, in the non-relativistic and ultra-relativistic cases, respectively. In the Safko-Witten space-time, we investigate the existence of an electrostatic self-force on a charged particle. We also consider a hydrogen atom in the background space-time generated by a cosmic string and we find the solutions of the corresponding Dirac equation and we determine the energy levels of the atom. We investigate how the topological features of this space-time lead to shifts in the energy levels as compared with the flat Minkowski space-time. We study the behavior of non-relativistic quantum particles interacting with a Kratzer potential in the space-time generated by a global monopole and we find the energy spectrum in the presence of this topological defect. In the Safko-Witten space-time, an investigation is also made concerning the interaction of an harmonic oscillator with this background gravitational field.

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Heat-Kernels and functional determinants on the generalized cone

1996

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We consider zeta functions and heat-kernel expansions on the bounded, generalized cone in arbitrary dimensions using an improved calculational technique. The specific case of a global monopole is analysed in detail and some restrictions thereby placed on the A 5/2 coefficient. The computation of functional determinants is also addressed. General formulas are given and known results are incidentally, and rapidly, reproduced.PACS number(s): 02.30.-f

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Vacuum-polarization effects in global monopole space-times

Cited by 57 publications

References 17 publications

Vacuum polarization by a global monopole with finite core

Vacuum polarization by a global monopole with finite core

On some classical and quantum effects due to gravitational fields

Heat-Kernels and functional determinants on the generalized cone

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