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We consider a universe with a compact extra dimension and a cosmological constant emerging from a suitable ultraviolet cutoff on the zero point energy of the vacuum. We derive the Casimir force between parallel conducting plates as a…

Astrophysics · Physics 2008-11-26 Leandros Perivolaropoulos

Both theoretical interest and practical significance attach to the sign and strength of Casimir forces. A famous, discouraging no-go theorem states that "The Casimir force between two bodies with reflection symmetry is always attractive."…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 Qing-Dong Jiang , Frank Wilczek

The levitation of nanoparticles is essential in various branches of research. Casimir forces are natural candidates to tackle it but the lack of broadband metamaterials precluded repulsive forces in vacuum. We show sub-micron nanoparticle…

Quantum Physics · Physics 2023-06-29 Adrian E. Rubio Lopez , Vincenzo Giannini

This communication concerns the structure of the electromagnetic quantum vacuum in a disclinated insulator. It is shown that a nonzero vacuum energy density appears when the rotational symmetry of a continuous insulating elastic medium is…

Condensed Matter · Physics 2009-10-28 Fernando Moraes

We study, for the first time, the Casimir effect in non-Abelian gauge theory using first-principle numerical simulations. Working in two spatial dimensions at zero temperature we find that closely spaced perfect chromoelectric conductors…

High Energy Physics - Lattice · Physics 2018-11-14 M. N. Chernodub , V. A. Goy , A. V. Molochkov , Ha Huu Nguyen

In order to explore repulsive Casimir/van der Waals forces between solid materials with liquid as the intervening medium, we analyze dielectric data for a wide range of materials as for example PTFE, polystyrene, silica and more than twenty…

Materials Science · Physics 2015-05-18 P. J. van Zwol , G. Palasantzas

We show that in order to account for the repulsive Casimir effect in the parallel plate geometry in terms of the quantum version of the Lorentz force, virtual surface densities of magnetic charges and currents must be introduced. The…

Quantum Physics · Physics 2013-04-18 C. Farina , F. C. Santos , A. C. Tort

Casimir force searches provide among the most sensitive laboratory probes of new short range interactions. Existing constraints rely almost exclusively on a single geometry. We show that Casimir geometry constitutes an independent…

High Energy Physics - Phenomenology · Physics 2026-03-25 Xiaolin Ma , Volodymyr Takhistov , Hideo Iizuka

We consider the finite temperature Casimir force acting on two parallel plates in a closed cylinder with the same cross section of arbitrary shape in the presence of extra dimensions. Dirichlet boundary conditions are imposed on one plate…

High Energy Physics - Theory · Physics 2017-08-23 L. P. Teo , K. Kirsten

We show that weakly incoherent optical beams propagating in a Kerr medium exhibit a universal algebraic coherence after a short propagation time, mimicking the quasi-long-range order of ultracold quantum Bose gases in two dimensions. If two…

Optics · Physics 2020-11-25 Tamara Bardon-brun , Simon Pigeon , Nicolas Cherroret

We study the torque arising between two corrugated metallic plates due to the interaction with electromagnetic vacuum. This Casimir torque can be measured with torsion pendulum techniques for separation distances as large as 1$\mu$m. It…

Quantum Physics · Physics 2010-12-17 Robson B. Rodrigues , Paulo A. Maia Neto , A. Lambrecht , S. Reynaud

Coulomb repulsion between two moving electrons loses its spherical symmetry due to relativistic effects. In presence of a uniform positive ion background this asymmetry uncovers an angular dependent attraction potential in the direction of…

Superconductivity · Physics 2007-05-23 F. Raissi

We model the one-dimensional `classical' vacuum by a system of annihilating Brownian motions on $\mathbb{R}$ with pairwise immigration. A pair of reflecting or absorbing walls placed in such a vacuum at separation $L$ experiences an…

Probability · Mathematics 2024-09-24 Ruibo Kou , Roger Tribe , Oleg Zaboronski

We present a scheme for obtaining stable Casimir suspension of dielectric nontouching objects immersed in a fluid, validated here in various geometries consisting of ethanol-separated dielectric spheres and semi-infinite slabs. Stability is…

The Casimir effect describes the attractive force arising due to quantum fluctuations of the vacuum electromagnetic field between closely spaced conducting plates. Traditionally, zeta-regularization is employed in calculations to address…

Quantum Physics · Physics 2024-06-12 Ching-Hsuan Yen

The Casimir energy is computed in the geometry of interest for the most precise experiments, a plane and a sphere in electromagnetic vacuum. The scattering formula is developed on adapted plane-waves and multipole basis, leading to an…

Quantum Physics · Physics 2008-07-31 Paulo A. Maia Neto , Astrid Lambrecht , Serge Reynaud

The applicability of the Lifshitz formula is discussed to the case of two thick parallel plates made of real metal. The usual description of the zero-point vacuum oscillations on the background of the frequency-dependent dielectric…

Quantum Physics · Physics 2007-05-23 V. M. Mostepanenko , A. O. Caride , G. L. Klimchitskaya , S. I. Zanette

The Casimir force can be understood as resulting from the radiation pressure exerted by the vacuum fluctuations reflected by boundaries. We extend this local formulation to the case of partially transmitting boundaries by introducing…

Quantum Physics · Physics 2009-11-07 Marc-Thierry Jaekel , Serge Reynaud

We present calculations of the quantum and thermal Casimir interaction between real mirrors in electromagnetic fields using the scattering approach. We begin with a pedagogical introduction of this approach in simple cases where the…

Quantum Physics · Physics 2014-09-16 Astrid Lambrecht , Antoine Canaguier-Durand , Romain Guérout , Serge Reynaud

Casimir forces in quantum electrodynamics emerge between microscopic metallic objects because of the confinement of the vacuum electromagnetic fluctuations occurring even at zero temperature. Their generalization at finite temperature and…

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