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19972026
most citedCasimir effect for scalar fields under Robin boundary conditions on plates

182 citations · 4.3k across the 208 of their papers we have counts for

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hep-th2026

Topological effects in the polarization of the Fulling-Rindler vacuum

A. A. Saharian, G. V. Mirzoyan, V. S. Torosyan

We investigate how the compactification of some spatial dimensions in Rindler spacetime affects the vacuum expectation values (VEVs) of the field squared and the energy-momentum te…

hep-th2026

Topological defects and scalar field modes in warped geometries

A. A. Saharian, E. L. Karapetyan, G. V. Mirzoyan

We develop a general framework for investigating the influence of topological defects on the local characteristics of a quantum scalar field in a warped geometry background. The Ri…

hep-th2026

Electromagnetic Wightman functions and vacuum densities for a brane intersecting the AdS boundary

A. A. Saharian, R. M. Avagyan, V. F. Manukyan

We investigate the combined effects of a brane intersecting the AdS boundary and background gravitational field on the local characteristics of the electromagnetic vacuum. Two type…

hep-th2026

Topological defects and scalar field modes in cosmological backgrounds

A. A. Saharian, G. V. Mirzoyan, G. H. Harutyunyan +1

We study topological defects with a general structure in higher-dimensional cosmological backgrounds described by a set of angle deficit parameters. As special cases, they include…

hep-th2025

Fermionic Casimir densities for a uniformly accelerating mirror in the Fulling-Rindler vacuum

A. A. Saharian, L. Sh. Grigoryan, V. Kh. Kotanjyan

We investigate the local characteristics of the Fulling-Rindler vacuum for a massive Dirac field induced by a planar boundary moving with constant proper acceleration in -di…

hep-th2025★ 1 cited

Vacuum currents in elliptic pseudosphere tubes

A. A. Saharian, G. V. Mirzoyan

We examine the effects of spatial topology, curvature, and magnetic flux on the vacuum expectation value (VEV) of the current density for a charged scalar field in (2+1)-dimensiona…

hep-th2025★ 2 cited

Two-point functions and the vacuum densities in the Casimir effect for the Proca field

A. A. Saharian, H. H. Asatryan

We investigate the properties of the vacuum state for the Proca field in the geometry of two parallel plates on background of (D+1)-dimensional Minkowski spacetime. The two-point f…

hep-th2025★ 2 cited

Topological Casimir effect for fermionic condensate in AdS spacetime with compact dimensions

T. A. Petrosyan, A. A. Grigoryan, A. A. Saharian

We investigate combined effects of gravitational field and spatial topology on the fermionic condensate (FC) for a massive Dirac field in locally anti-de Sitter (AdS) spacetime wit…

hep-th2024★ 2 cited

Finite temperature fermionic charge and current densities in conical space with a circular edge

A. A. Saharian, V. F. Manukyan, T. A. Petrosyan

We study the finite temperature and edge induced effects on the charge and current densities for a massive spinor field localized on a 2D conical space threaded by a magnetic flux.…

hep-th2024

Generalized Abel-Plana formula as a renormalization tool in quantum field theory

A. A. Saharian

In quantum field theory the vacuum expectation values of physical observables, bilinear in the field operator, diverge. Among the most important points in the investigations of tho…

hep-th2024

Topological Casimir effect in models with helical compact dimensions

R. M. Avagyan, A. A. Saharian, D. H. Simonyan +1

We investigate the influence of the helical compactification of spatial dimension on the local properties of the vacuum state for a charged scalar field with general curvature coup…

hep-th2024★ 5 cited

Vacuum currents in curved tubes

A. A. Saharian

We investigate the combined effects of spatial curvature and topology on the properties of the vacuum state for a charged scalar field localized on rotationally symmetric 2D curved…

hep-th2024★ 1 cited

Fermionic vacuum stresses in models with toroidal compact dimensions

A. A. Saharian, R. M. Avagyan, G. H. Harutyunyan +1

We investigate vacuum expectation value of the energy-momentum tensor for a massive Dirac field in flat spacetime with a toroidal subspace of a general dimension. Quasiperiodicity…

hep-th2024

Vacuum currents for a scalar field in models with compact dimensions

A. A. Saharian

This paper reviews the investigations on the vacuum expectation value of the current density for a charged scalar field in spacetimes with toroidally compactified spatial dimension…

hep-th2023

Surface Casimir densities on branes orthogonal to the boundary of anti-de Sitter spacetime

A. A. Saharian

We investigate the vacuum expectation value of the surface energy-momentum tensor (SEMT) for a scalar field with general curvature coupling in the geometry of two branes orthogonal…

hep-th2023★ 9 cited

Fermionic condensate and the mean energy-momentum tensor in the Fulling-Rindler vacuum

S. Bellucci, V. Kh. Kotanjyan, A. A. Saharian

We investigate the properties of the fermionic Fulling-Rindler vacuum for a massive Dirac field in a general number of spatial dimensions. As important local characteristics, the f…

hep-th2023

Electromagnetic vacuum stresses and energy fluxes induced by a cosmic string in de Sitter spacetime

A. A. Saharian, V. F. Manukyan, V. Kh. Kotanjyan +1

For the electromagnetic field in (D+1)-dimensional locally de Sitter (dS) spacetime, we analyze the effects of a generalized cosmic string type defect on the vacuum expectation val…

hep-th2022★ 4 cited

Vacuum densities and the Casimir forces for branes orthogonal to the AdS boundary

S. Bellucci, A. A. Saharian, V. Kh. Kotanjyan

For a massive scalar field with general curvature coupling we evaluate the Wightman function in the geometry of two parallel branes perpendicular to the AdS boundary. On the separa…

hep-th2022★ 3 cited

Finite temperature charge and current densities around a cosmic string in AdS spacetime with compact dimension

E. R. Bezerra de Mello, W. Oliveira dos Santos, A. A. Saharian

For a massive scalar field with a general curvature coupling parameter, we investigate the finite temperature contributions to the Hadamard function and to the charge and current d…

hep-th2022★ 10 cited

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

S. Bellucci, W. Oliveira dos Santos, E. R. Bezerra de Mello +1

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-m…

hep-th2021★ 5 cited

Fermionic condensate in de Sitter spacetime

A. A. Saharian, E. R. Bezerra de Mello, A. S. Kotanjyan +1

Fermionic condensate is investigated in -dimensional de Sitter spacetime by using the cutoff function regularization. In order to fix the renormalization ambiguity for massi…

hep-th2021★ 7 cited

Mean field squared and energy-momentum tensor for the hyperbolic vacuum in dS spacetime

A. A. Saharian, T. A. Petrosyan, V. S. Torosyan

We evaluate the Hadamard function and the vacuum expectation values (VEVs) of the field squared and energy-momentum tensor for a massless conformally coupled scalar field in $(D+1)…

hep-th2021★ 9 cited

Fermionic vacuum polarization around a cosmic string in compactified AdS spacetime

S. Bellucci, W. Oliveira dos Santos, E. R. Bezerra de Mello +1

We investigate topological effects of a cosmic string and compactification of a spatial dimension on the vacuum expectation value (VEV) of the energy-momentum tensor for a fermioni…

hep-th2021★ 8 cited

Vacuum currents in partially compactified Rindler spacetime with an application to cylindrical black holes

V. Kh. Kotanjyan, A. A. Saharian, M. R. Setare

The vacuum expectation value of the current density for a charged scalar field is investigated in Rindler spacetime with a part of spatial dimensions compactified to a torus. It is…