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We introduce the concept of a photonic Dirac monopole, appropriate for photonic crystals, metamaterials and 2D materials, by utilizing the Dirac-Maxwell correspondence. We start by exploring vacuum where the reciprocal momentum space of…

Optics · Physics 2018-12-12 Todd Van Mechelen , Zubin Jacob

The Casimir effect arises from the zero-point energy of particles in momentum space deformed by the existence of two parallel plates. For degrees of freedom on the lattice, its energy-momentum dispersion is determined so as to keep a…

High Energy Physics - Lattice · Physics 2021-06-15 Tsutomu Ishikawa , Katsumasa Nakayama , Kei Suzuki

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 fermionic condensate and the expectation value of the…

High Energy Physics - Theory · Physics 2023-11-17 S. Bellucci , V. Kh. Kotanjyan , A. A. Saharian

We study the Casimir energy of a spherical shell of radius $a$ in $\kappa$-Minkowski spacetime for a complex field with an asymmetric ordering and obtain the energy up to $O(1/\kappa^2)$. We show that the vacuum breaks particle and…

High Energy Physics - Theory · Physics 2018-02-14 Hyeong-Chan Kim , Chaiho Rim , Jae Hyung Yee

The Casimir effect for a scalar field in presence of delta-type potentials has been investigated for a long time in the case of surface delta functions, modelling semi-transparent boundaries. More recently Albeverio, Cacciapuoti, Cognola,…

Mathematical Physics · Physics 2018-09-07 Davide Fermi , Livio Pizzocchero

The Casimir interaction energy due to the vacuum fluctuations of a massive vector field between two perfectly conducting concentric spherical bodies is computed. The TE contribution to the Casimir interaction energy is a direct…

Quantum Physics · Physics 2015-05-20 L. P. Teo

Quantum vacuum energy has been known to have observable consequences since 1948 when Casimir calculated the force of attraction between parallel uncharged plates, a phenomenon confirmed experimentally with ever increasing precision. Casimir…

High Energy Physics - Theory · Physics 2009-11-07 Kimball A. Milton

Two-point functions, the mean field squared and the vacuum expectation value (VEV) of the energy-momentum tensor are investigated for the electromagnetic field in the geometry of parallel plates on background of $(D+1)$% -dimensional dS…

High Energy Physics - Theory · Physics 2015-05-28 A. S. Kotanjyan , A. A. Saharian , H. A. Nersisyan

Schl\"omilch's formula is generalized and applied to the thermal Casimir effect of a fermionic field confined a three-dimensional rectangular box. The analytic expressions of the Casimir energy and Casimir force are derived for arbitrary…

Quantum Physics · Physics 2018-08-08 Zhongyou Mo , Junji Jia

The Casimir effect due to conformally coupled bulk scalar fields on background of conformally flat brane-world geometries is investigated. In the general case of mixed boundary conditions formulae are derived for the vacuum expectation…

High Energy Physics - Theory · Physics 2008-11-26 A. A. Saharian , M. R. Setare

The Casimir effect for general Robin conditions on the surface of a cylinder in $D$-spacetime dimensions is studied for massive scalar field with general curvature coupling. The energy distribution and vacuum stress are investigated. We…

High Energy Physics - Theory · Physics 2009-11-07 August Romeo , Aram A. Saharian

In this letter, we investigate the changes in the quantum vacuum energy density of a massless scalar field inside a Casimir cavity that orbits a wormhole, by considering the cosmological model with an isotropic form of the Morris-Thorne…

General Relativity and Quantum Cosmology · Physics 2024-09-05 A. C. L. Santos , C. R. Muniz , L. T. Oliveira

The presence of finite energy in quantum vacuum has profound implications to physics at the microscopic and macroscopic levels. One of the direct consequences of vacuum energy is the Casimir Force, which is a force of attraction experienced…

General Relativity and Quantum Cosmology · Physics 2009-09-29 G. Rajalakshmi

Wightman function, the vacuum expectation values of the field square and the energy-momentum tensor are evaluated for a scalar field obeying the Robin boundary conditions on two spherical branes in (D+1)-dimensional Rindler-like spacetime…

High Energy Physics - Theory · Physics 2010-10-27 A. A. Saharian , M. R. Setare

We study the vacuum polarization of a massive scalar field $\phi$ with arbitrary coupling to gravity in pointlike global monopole spacetime. Using Schwinger-DeWitt proper time formalism, we calculate the vacuum expectation value…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Owen Pavel Fernández Piedra

We demonstrate that Casimir forces associated with zero-point fluctuations of quantum vacuum may be substantially affected by the presence of dynamical topological defects. In order to illustrate this nonperturbative effect we study the…

High Energy Physics - Lattice · Physics 2017-04-26 M. N. Chernodub , V. A. Goy , A. V. Molochkov

The aim of this work is to investigate the role played by the fermion mass and that of an external field on the fermionic Casimir energy density under S^1 X R^3 topology. Both twisted and untwisted spin connections are considered and the…

High Energy Physics - Theory · Physics 2007-05-23 J. L. Tomazelli , L. C. Costa

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…

High Energy Physics - Theory · Physics 2009-11-11 E. R. Bezerra de Mello , A. A. Saharian

We study a massless Dirac field subjected to two alternative boundary conditions on two parallel thin walls, in d + 1 dimensions. The two configurations correspond to the system being even or odd under reflection about the midplane between…

High Energy Physics - Theory · Physics 2026-05-19 Aitor Fernández , César D. Fosco

Total vacuum energy of some quantized fields in conical space with additional boundary conditions is calculated. These conditions are imposed on a cylindrical surface which is coaxial with the symmetry axis of conical space. The explicit…

High Energy Physics - Theory · Physics 2011-08-22 V. V. Nesterenko , I. G. Pirozhenko