Induced vacuum bosonic current in a compactified cosmic string spacetime

Bragança, E. A. F.; Mota, Herondy F. Santana; Mello, E. R. Bezerra de

doi:10.1142/s2010194516601174

Cited by 3 publications

(4 citation statements)

References 46 publications

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“…and 18) with ǫ j = sgn(j + α) and Φ 0 = 2π/e being the flux quantum. The wave functions (2.16) are eigenfunctions of the projection of total angular momentum operator along the cosmic string, 19) with the eigenvalues j + α.…”

Section: Geometry and The Fermionic Modesmentioning

confidence: 99%

“…The expectation value of the current density acts as a source in semiclassical Maxwell equations and plays a crucial role in modeling a self-consistent dynamics involving the electromagnetic field. The azimuthal current density for scalar and fermionic fields, induced by a magnetic flux in the geometry of a straight cosmic string, has been investgated in [14]- [18]. The fermionic current induced by a magnetic flux in a (2 + 1)-dimensional conical spacetime with a circular boundary has been analyzed in [19].…”

Section: Introductionmentioning

confidence: 99%

“…The fermionic current induced by a magnetic flux in a (2 + 1)-dimensional conical spacetime with a circular boundary has been analyzed in [19]. The compactification of the cosmic string along its axis may lead to the appearance of the axial current density [17,18] (for the vacuum expectation value of the current density in models with compact dimensions see [20] in the case of flat background geometry and [21,22] for de Sitter and anti-de Sitter bulks). The generalization of the corresponding results for the fermionic case to a cosmic string in the background of de Sitter spacetime is given in [23].…”

Section: Introductionmentioning

confidence: 99%

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Finite temperature fermionic charge and current densities induced by a cosmic string with magnetic flux

Mohammadi

Mello

Saharian

2015

J. Phys. A: Math. Theor.

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We investigate the finite temperature expectation values of the charge and current densities for a massive fermionic field with nonzero chemical potential, µ, in the geometry of a straight cosmic string with a magnetic flux running along its axis. These densities are decomposed into the vacuum expectation values and contributions coming from the particles and antiparticles. The charge density is an even periodic function of the magnetic flux with the period equal to the quantum flux and an odd function of the chemical potential. The only nonzero component of the current density corresponds to the azimuthal current. The latter is an odd periodic function of the magnetic flux and an even function of the chemical potential. At high temperatures, the parts in the charge density and azimuthal current induced by the planar angle deficit and magnetic flux are exponentially small. The asymptotic behavior at low temperatures crucially depends whether the value |µ| is larger or smaller than the mass of the field quanta, m. For |µ| < m the charge density and the contributions into the azimuthal current coming from the particles and antiparticles are exponentially suppressed at low temperatures. In the case |µ| > m, the charge and current densities receive two contributions coming from the vacuum expectation values and from particles or antiparticles (depending on the sign of chemical potential). At large distances from the string the latter exhibits a damping oscillatory behavior with the amplitude inversely proportional to the square of the distance.

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Section: Geometry and The Fermionic Modesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Finite temperature fermionic charge and current densities induced by a cosmic string with magnetic flux

Mohammadi

Mello

Saharian

2015

J. Phys. A: Math. Theor.

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“…In this way we intend to complete the analysis of a scalar quantum field in this background, started in Refs. [39][40][41][42].…”

Section: Introductionmentioning

confidence: 99%

Vacuum expectation value of the energy-momentum tensor in a higher-dimensional compactified cosmic string spacetime

2019

Self Cite

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The main objective of this paper is to analyze the vacuum expectation value (VEV) of the energy-momentum tensor (EMT) associated with a charged scalar quantum field in a high-dimensional cosmic string spacetime admitting the presence of a magnetic flux running along the string's core. In addition, we also assume that the coordinate along the string's axis is compactified to a circle and presents an extra magnetic flux running along its center. This compactification is implemented by imposing a quasiperiodic condition on the field with an arbitrary phase β. The calculation of the VEV of the EMT and field squared, are developed by using the positive-energy Wightman function. The latter is constructed by the mode sum of the complete set of normalized bosonic wave-functions. Due to the compactification, two distinct contributions take place. The first one corresponds to the VEV in a cosmic string spacetime without compactification considering the magnetic interaction. So, this term presents a contribution due to the non-trivial topology of the conical space, and an additional contribution due to the interaction between the scalar field with the magnetic flux. The latter is a periodic function of the magnetic flux with period equal to the quantum flux, Φ 0 = 2π/e, and corresponds to a Aharanov-Bhom type contribution. The second contribution is induced by the compactification itself and depends on the magnetic flux along the string's core. It is also an even function of the magnetic flux enclosed by the string axis. Some asymptotic expressions for the VEVs of the energy-momentum tensor and field squared are provided for specific limiting cases of the physical parameter of the model.

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Vacuum polarization of Dirac fermions in the cosmological de Sitter global monopole spacetime

Ali

Bhattacharya

2022

Phys. Rev. D

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Induced vacuum bosonic current in a compactified cosmic string spacetime

Cited by 3 publications

References 46 publications

Finite temperature fermionic charge and current densities induced by a cosmic string with magnetic flux

Finite temperature fermionic charge and current densities induced by a cosmic string with magnetic flux

Vacuum expectation value of the energy-momentum tensor in a higher-dimensional compactified cosmic string spacetime

Vacuum polarization of Dirac fermions in the cosmological de Sitter global monopole spacetime

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