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Related papers: Casimir densities from coexisting vacua

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Perfectly conducting boundaries, and their Dirichlet counterparts for quantum scalar fields, predict nonintegrable energy densities. A more realistic model with a finite ultraviolet cutoff yields two inconsistent values for the force on a…

High Energy Physics - Theory · Physics 2016-05-18 S. W. Murray , C. M. Whisler , S. A. Fulling , Jef Wagner , H. B. Carter , David Lujan , F. D. Mera , T. E. Settlemyre

While wormholes are as good a prediction of Einstein's theory as black holes, they are subject to severe restrictions from quantum field theory. In particular, holding a wormhole open requires a violation of the null energy condition,…

General Relativity and Quantum Cosmology · Physics 2023-05-23 Peter K. F. Kuhfittig

The problem of the sudden growth and coalescence of voids in elastic media is considered. The Dirichlet energy is minimized among incompressible and invertible Sobolev deformations of a two-dimensional domain having $n$ microvoids of radius…

Analysis of PDEs · Mathematics 2019-06-26 Victor Cañulef-Aguilar , Duvan Henao

This work investigates the thermal Casimir effect associated with a massive spinor field defined on a four-dimensional flat space with a circularly compactified spatial dimension whose periodicity is oriented along a vector in $xy$-plane.…

High Energy Physics - Theory · Physics 2025-09-03 Joás Venâncio , Lameque Filho , Herondy Mota , Azadeh Mohammadi

We initiate a study of cosmology within the framework of Maldacena's AdS/CFT correspondence. We present a comprehensive analysis of the classical motion of a charged domain wall that separates an external Reissner-Nordstrom region of…

High Energy Physics - Theory · Physics 2009-10-31 Gian Luigi Alberghi , David A. Lowe , Mark Trodden

In this work, we analyze the Casimir effect associated with a massive, non-minimally coupled scalar field in static, spherically symmetric black hole spacetimes arising in bumblebee gravity. Three distinct solutions are considered,…

General Relativity and Quantum Cosmology · Physics 2026-03-03 D. S. Cabral , A. A. Araújo Filho , A. F. Santos

We investigate the fermionic condensate and the vacuum expectation value of the energy-momentum tensor for a massive fermionic field in the geometry of two parallel plate on the background of Minkowski spacetime with an arbitrary number of…

High Energy Physics - Theory · Physics 2011-06-07 E. Elizalde , S. D. Odintsov , A. A. Saharian

Quantities associated with Casimir forces are calculated in a model wave system of one spatial dimension with Dirichlet or Neumann boundary conditions. 1)Due to zero-point fluctuations, a partition is attracted to the walls of a box if the…

Quantum Physics · Physics 2009-11-07 Timothy H. Boyer

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

We consider the Casimir effect for a scalar field interacting with another scalar field that is confined to two half spaces. This model is aimed to mimic the interaction of the photon field with matter in two slabs. We use Dirichlet…

Quantum Physics · Physics 2018-03-23 Michael Bordag , Irina G. Pirozhenko

It is well known that the calculated cosmological constant, when regularized with a cutoff, differs hugely from the measured value. These calculations are made on the basis of a wave-vector cut-off that is usually set at the Planck scale.…

High Energy Physics - Theory · Physics 2026-03-31 Satish Ramakrishna

We investigate the renormalized vacuum expectation values of the field square and the energy-momentum tensor for the electromagnetic field inside and outside of a conducting cylindrical shell in the cosmic string spacetime. By using the…

High Energy Physics - Theory · Physics 2008-11-26 E. R. Bezerra de Mello , V. B. Bezerra , A. A. Saharian

Boundary correlation functions provide insight into the emergence of an effective geometry in higher spin gravity duals of O(N) or U(N) symmetric field theories. On a compact manifold, the singlet constraint leads to nontrivial dynamics at…

High Energy Physics - Theory · Physics 2017-03-08 Irene Amado , Bo Sundborg , Larus Thorlacius , Nico Wintergerst

The Casimir energy is evaluated for massless scalar fields under Dirichlet or Neumann boundary conditions, and for the electromagnetic field with perfect conductor boundary conditions on one and two infinite parallel plates moving by…

High Energy Physics - Theory · Physics 2009-11-10 A. A. Saharian , R. S. Davtyan , A. H. Yeranyan

We study the Casimir effect in the framework of Standard Model Extension (SME). Employing the weak field approximation, the vacuum energy density {\epsilon} and the pressure for a massless scalar field confined between two nearby parallel…

High Energy Physics - Theory · Physics 2018-11-29 Massimo Blasone , Gaetano Lambiase , Luciano Petruzziello , Antonio Stabile

The electromagnetic Casimir energies of a spherical and a cylindrical cavity are analyzed semiclassically. The field theoretical self-stress of a spherical cavity with ideal metallic boundary conditions is reproduced to better than 1%. The…

High Energy Physics - Theory · Physics 2007-05-23 Martin Schaden

In this paper we analyze the vacuum expectation values of the field squared and the energy-momentum tensor associated to a massive scalar field in a higher dimensional cosmic string spacetime, obeying Dirichlet or Neumann boundary…

High Energy Physics - Theory · Physics 2011-07-07 E. R. Bezerra de Mello , A. A. Saharian

Eigenmodes of electromagnetic field with perfectly conducting or infinitely permeable conditions on the boundary of a D-dimensional spherically symmetric cavity is derived explicitly. It is shown that there are (D-2) polarizations for TE…

High Energy Physics - Theory · Physics 2014-11-20 L. P. Teo

We evaluate quantum effects due to a $2$-component Dirac field in $2+1$ space-time dimensions, coupled to domain-wall like defects with a smooth shape. We show that those effects induce non trivial contributions to the (shape-dependent)…

High Energy Physics - Theory · Physics 2016-08-03 C. D. Fosco , F. D. Mazzitelli

We consider a region of Minkowski spacetime bounded either by one or by two parallel, infinitely extended plates orthogonal to a spatial direction and a real Klein-Gordon field satisfying Dirichlet boundary conditions. We quantize these two…

Mathematical Physics · Physics 2015-10-01 Claudio Dappiaggi , Gabriele Nosari , Nicola Pinamonti