Casimir Effect for Fermion Condensate in Conical Rings

Saharian, A. A.; Petrosyan, T. A.; Hovhannisyan, A.

doi:10.3390/universe7030073

Cited by 4 publications

(1 citation statement)

References 111 publications

(172 reference statements)

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“…The effects induced by the presence of additional boundaries were discussed in [52,53]. The FC and the expectation values of the current density and energy-momentum tensor in (1+2)-dimensional conical spacetime with circular boundaries have been considered in [54]- [59].…”

Section: Fermionic Condensate In the Uncompactified Geometrymentioning

confidence: 99%

Topological effects in fermion condensate induced by cosmic string and compactification on AdS bulk

Bellucci,

Santos,

de Mello

et al. 2021

Preprint

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We investigate the fermion condensate (FC) for a massive spinor field on background of the 5-dimensional locally anti-de Sitter (AdS) spacetime with a compact dimension and in the presence of a cosmic string carrying a magnetic flux. The FC is decomposed into two contributions. The first one corresponds to the geometry without compactification and the second one is induced by the compactification. Depending on the values of the parameters, the total FC can be either positive or negative. As a limiting case, the expression for the FC on locally Minkowski spacetime is derived. It vanishes for a massless fermion field and the nonzero FC on the AdS bulk in the massless case is an effect induced by gravitation. This shows that the gravitational field may essentially influence the parameters space for phase transitions. For a massive field the FC diverges on the string as the inverse cube of the proper distance from the string. In the case of a massless field, depending on the magnetic flux along the string and planar angle deficit, the limiting value of the FC on the string can be either finite or infinite. At large distances, the decay of the FC as a function of the distance from the string is power law for both cases of massive and massless fields. For a cosmic string on the Minkowski bulk and for a massive field the decay is exponential. The topological part in the FC vanishes on the AdS boundary. We show that the FCs coincide for the fields realizing two inequivalent irreducible representations of the Clifford algebra. In the special case of the zero planar angle deficit, the results presented in this paper describe Aharonov-Bohm-type effects induced by magnetic fluxes in curved spacetime.

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Section: Fermionic Condensate In the Uncompactified Geometrymentioning

confidence: 99%

Topological effects in fermion condensate induced by cosmic string and compactification on AdS bulk

Bellucci,

Santos,

de Mello

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

Fermionic Condensate in de Sitter Spacetime

et al. 2021

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Topological Effects in a Fermionic Condensate Induced by a Cosmic String and Compactification on the AdS Bulk

et al. 2022

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In this paper, we analyzed the fermionic condensate (FC) associated with a massive fermionic field on a five-dimensional anti-de Sitter (AdS) spacetime in the presence of a cosmic string taking into account a magnetic flux running along its core. In addition, a compactified dimension was considered. Due to this compactification, the FC is expressed in terms of two distinct contributions: the first one corresponds to the geometry without compactification, and the second one is induced by the compactification. Depending on the values of the physical parameters, the total FC can be positive or negative. As a limiting case, the expression for the FC on locally Minkowski spacetime was derived. It vanishes for a massless fermionic field, and the nonzero FC on the AdS background space in the massless case is an effect induced by gravitation. This shows that the gravitational field may essentially influence the parameter space for phase transitions. For a massive field, the FC diverges on the string as the inverse cube of the proper distance from the string. In the case of a massless field, depending on the magnetic flux along the string and planar angle deficit, the limiting value of the FC on the string can be either finite or infinite. At large distances, the decay of the FC as a function of the distance from the string is a power law for both cases of massive and massless fields. For a cosmic string on the Minkowski bulk and for a massive field, the decay is exponential. The topological part in the FC vanishes on the AdS boundary. We show that the FCs coincide for the fields realizing two inequivalent irreducible representations of the Clifford algebra. In the special case of the zero planar angle deficit, the results presented in this paper describe Aharonov–Bohm-type effects induced by magnetic fluxes in curved spacetime.

show abstract

Casimir Effect for Fermion Condensate in Conical Rings

Cited by 4 publications

References 111 publications

Topological effects in fermion condensate induced by cosmic string and compactification on AdS bulk

Topological effects in fermion condensate induced by cosmic string and compactification on AdS bulk

Fermionic Condensate in de Sitter Spacetime

Topological Effects in a Fermionic Condensate Induced by a Cosmic String and Compactification on the AdS Bulk

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