Induced fermionic current in AdS spacetime in the presence of a cosmic string and a compactified dimension

Bellucci, Stefano; dos, Santos, W. Oliveira; Mello, E. R. Bezerra de

doi:10.1140/epjc/s10052-020-08505-7

Cited by 12 publications

(18 citation statements)

References 27 publications

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“…where u = 1 + c 2 /(2w 2 ) and Q µ ν (u) is the associated Legendre function of the second kind. This gives (see also [46])…”

Section: Jhep02(2021)190mentioning

confidence: 85%

“…The general procedure for solving the Dirac equation is similar to that already discussed in [43] for (3+1)-dimensional AdS spacetime and in [46] for the problem on (4+1)dimensional AdS bulk with compactified spatial dimension. Here we will describe the main steps only.…”

Section: Jhep02(2021)190mentioning

confidence: 99%

“…The VEV of the corresponding energy-momentum tensor was analyzed in [45]. Finally, in [46] the induced fermionic current in the AdS bulk in the presence of a cosmic string was discussed. 1 Here we consider the VEV of the fermionic current density around magnetic-fluxcarrying cosmic string on AdS bulk in the presence of a brane parallel to the AdS boundary.…”

Section: Introductionmentioning

confidence: 99%

“…In fact, in references[44,45] and[46], higher dimensional AdS spacetimes were considered, admitting that an extra dimension coordinate was compactified.…”

mentioning

confidence: 99%

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Vacuum fermionic currents in braneworld models on AdS bulk with a cosmic string

Bellucci

dos

Mello

et al. 2021

J. High Energ. Phys.

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We investigate the effects of a brane and magnetic-flux-carrying cosmic string on the vacuum expectation value (VEV) of the current density for a charged fermionic field in the background geometry of (4+1)-dimensional anti-de Sitter (AdS) spacetime. The brane is parallel to the AdS boundary and the cosmic string is orthogonal to the brane. Two types of boundary conditions are considered on the brane that include the MIT bag boundary condition and the boundary conditions in Z2-symmetric braneworld models. The brane divides the space into two regions with different properties of the vacuum state. The only nonzero component of the current density is along the azimuthal direction and in both the regions the corresponding VEV is decomposed into the brane- free and brane-induced contributions. The latter vanishes on the string and near the string the total current is dominated by the brane-free part. At large distances from the string and in the region between the brane and AdS horizon the decay of the brane-induced current density, as a function of the proper distance, is power-law for both massless and massive fields. For a massive field this behavior is essentially different from that in the Minkowski bulk. In the region between the brane and AdS boundary the large-distance decay of the current density is exponential. Depending on the boundary condition on the brane, the brane-induced contribution is dominant or subdominant in the total current density at large distances from the string. By using the results for fields realizing two inequivalent irreducible representations of the Clifford algebra, the vacuum current density is investigated in C - and P -symmetric fermionic models. Applications are given for a cosmic string in the Randall-Sundrum-type braneworld model with a single brane.

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“…where u = 1 + c 2 /(2w 2 ) and Q µ ν (u) is the associated Legendre function of the second kind. This gives (see also [46])…”

Section: Jhep02(2021)190mentioning

confidence: 85%

Section: Jhep02(2021)190mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…In fact, in references[44,45] and[46], higher dimensional AdS spacetimes were considered, admitting that an extra dimension coordinate was compactified.…”

mentioning

confidence: 99%

See 2 more Smart Citations

Vacuum fermionic currents in braneworld models on AdS bulk with a cosmic string

Bellucci

dos

Mello

et al. 2021

J. High Energ. Phys.

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show abstract

“…The corresponding vacuum currents for charged scalar and fermionic fields were discussed in [14,15]. An additional topological influence of a cosmic string on the vacuum currents has been considered in [16,17]. The FC and the VEV of the energy-momentum tensor for a charged massive fermionic field were investigated in [18,19].…”

Section: Introductionmentioning

confidence: 99%

Cosmic string and brane induced effects on the fermionic vacuum in AdS spacetime

Bellucci,

Santos,

de Mello

et al. 2022

Preprint

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We investigate the combined effects of a magnetic flux-carrying cosmic string and a brane on the fermionic condensate (FC) and on the vacuum expectation value (VEV) of the energymomentum tensor for a massive charged fermionic field in background of 5-dimensional anti-de Sitter (AdS) spacetime. The brane is parallel to the AdS boundary and it divides the space into two regions with distinct properties of the fermionic vacuum. For two types of boundary conditions on the field operator and for the fields realizing two inequivalent representations of the Clifford algebra, the brane-induced contributions in VEVs are explicitly separated. The VEVs are even periodic functions of the magnetic flux, confined in the core, with the period of flux quantum. Near the horizon the FC and the vacuum energy-momentum tensor are dominated by the branefree contribution, whereas the brane-induced part dominates in the region near the brane. Both the contributions vanish on the AdS boundary. At large distances from the cosmic string, the topological contributions in the VEVs, as functions of the proper distance, exhibit an inverse power-law decrease in the region between the brane and AdS horizon and an exponential decrease in the region between the brane and AdS boundary. We show that the FC and the vacuum energy density can be either positive or negative, depending on the distance from the brane. Applications are discussed in fermionic models invariant under the charge conjugation and parity transformation and also in Z 2 -symmetric braneworld models. By the limiting transition we derive the expressions of the FC and the vacuum energy-momentum tensor for a cosmic string on 5-dimensional Minkowski bulk in the presence of a boundary perpendicular to the string.

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Cosmic string and brane induced effects on the fermionic vacuum in AdS spacetime

Bellucci

dos

Mello

et al. 2022

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

We investigate the combined effects of a magnetic flux-carrying cosmic string and a brane on the fermionic condensate (FC) and on the vacuum expectation value (VEV) of the energy-momentum tensor for a massive charged fermionic field in background of 5-dimensional anti-de Sitter (AdS) spacetime. The brane is parallel to the AdS boundary and it divides the space into two regions with distinct properties of the fermionic vacuum. For two types of boundary conditions on the field operator and for the fields realizing two inequivalent representations of the Clifford algebra, the brane-induced contributions in VEVs are explicitly separated. The VEVs are even periodic functions of the magnetic flux, confined in the core, with the period of flux quantum. Near the horizon the FC and the vacuum energy-momentum tensor are dominated by the brane-free contribution, whereas the brane-induced part dominates in the region near the brane. Both the contributions vanish on the AdS boundary. At large distances from the cosmic string, the topological contributions in the VEVs, as functions of the proper distance, exhibit an inverse power-law decrease in the region between the brane and AdS horizon and an exponential decrease in the region between the brane and AdS boundary. We show that the FC and the vacuum energy density can be either positive or negative, depending on the distance from the brane. Applications are discussed in fermionic models invariant under the charge conjugation and parity transformation and also in Z2-symmetric braneworld models. By the limiting transition we derive the expressions of the FC and the vacuum energy-momentum tensor for a cosmic string on 5-dimensional Minkowski bulk in the presence of a boundary perpendicular to the string.

show abstract

Induced fermionic current in AdS spacetime in the presence of a cosmic string and a compactified dimension

Cited by 12 publications

References 27 publications

Vacuum fermionic currents in braneworld models on AdS bulk with a cosmic string

Vacuum fermionic currents in braneworld models on AdS bulk with a cosmic string

Cosmic string and brane induced effects on the fermionic vacuum in AdS spacetime

Cosmic string and brane induced effects on the fermionic vacuum in AdS spacetime

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