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We study the Casimir problem as the limit of a conventional quantum field theory coupled to a smooth background. The Casimir energy diverges in the limit that the background forces the field to vanish on a surface. We show that this…

高能物理 - 理论 · 物理学 2008-11-26 N. Graham , R. L. Jaffe , V. Khemani , M. Quandt , M. Scandurra , H. Weigel

We study the vacuum polarization (Casimir) energy in renormalizable, continuum quantum field theory in the presence of a background field, designed to impose Dirichlet boundary conditions on the fluctuating quantum field. In two and three…

高能物理 - 理论 · 物理学 2007-05-23 H. Weigel

Casimir forces are conventionally computed by analyzing the effects of boundary conditions on a fluctuating quantum field. Although this analysis provides a clean and calculationally tractable idealization, it does not always accurately…

高能物理 - 理论 · 物理学 2008-11-26 N. Graham , R. L. Jaffe , V. Khemani , M. Quandt , O. Schroeder , H. Weigel

We study the problem of imposing Dirichlet-like boundary conditions along a static spatial curve, in a planar Noncommutative Quantum Field Theory model. After constructing interaction terms that impose the boundary conditions, we discuss…

高能物理 - 理论 · 物理学 2014-11-21 C. D. Fosco , P. Scuracchio

Dirichlet boundary conditions on a surface can be imposed on a scalar field, by coupling it quadratically to a $\delta$-like potential, the strength of which tends to infinity. Neumann conditions, on the other hand, require the introduction…

高能物理 - 理论 · 物理学 2014-11-20 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

We study quantum effects induced by a point-like object that imposes Dirichlet boundary conditions along its world-line, on a real scalar field $\varphi$ in 1, 2 and 3 spatial dimensions. The boundary conditions result from the strong…

高能物理 - 理论 · 物理学 2020-04-01 C. D. Fosco , D. R. Junior , L. E. Oxman

The effect of edges and apertures on the Casimir energy of an arrangement of plates and boundaries can be calculated in terms of an effective nonlocal lower-dimensional field theory that lives on the boundary. This formalism has been…

高能物理 - 理论 · 物理学 2013-06-05 Dimitra Karabali , V. P. Nair

We introduce a general, simple and effective method of evaluating the zero point energy of a quantum field under the influence of arbitrary boundary conditions imposed on the field on flat surfaces perpendicular to a chosen spatial…

量子物理 · 物理学 2007-05-23 F. C. Santos , A. C. Tort

We apply the quasi-local stress-energy tensor formalism to the Casimir effect of a scalar field confined between conducting planes located in a static spacetime. We show that the surface energy vanishes for both Neumann and Dirichlet…

高能物理 - 理论 · 物理学 2022-10-07 Borzoo Nazari

The consistency of quantum field theories defined on domains with external borders imposes very restrictive constraints on the type of boundary conditions that the fields can satisfy. We analyse the global geometrical and topological…

高能物理 - 理论 · 物理学 2009-11-11 M. Asorey , D. Garcia-Alvarez , J. M. Munoz-Castaneda

We study the Dirichlet Casimir effect for a complex scalar field on two noncommutative spatial coordinates plus a commutative time. To that end, we introduce Dirichlet-like boundary conditions on a curve contained in the spatial plane, in…

高能物理 - 理论 · 物理学 2008-11-26 C. D. Fosco , G. A. Moreno

The infrared behavior of quantum field theories confined in bounded domains is strongly dependent on the shape and structure of space boundaries. The most significant physical effect arises in the behaviour of the vacuum energy. The Casimir…

高能物理 - 理论 · 物理学 2013-07-16 M. Asorey , J. M. Munoz-Castaneda

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…

高能物理 - 理论 · 物理学 2017-08-23 L. P. Teo , K. Kirsten

We analyze the role of boundaries in the infrared behavior of quantum field theories. By means of a novel method we calculate the vacuum energy for a massless scalar field confined between two homogeneous parallel plates with the most…

高能物理 - 理论 · 物理学 2013-07-16 M. Asorey , J. M Munoz-Castaneda

We use a functional approach to the Casimir effect in order to evaluate the exact vacuum energy for a real scalar field in $d+1$ dimensions, in the presence of backgrounds that, in a particular limit, impose Dirichlet boundary conditions on…

高能物理 - 理论 · 物理学 2008-11-26 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

We study the influence of a background uniform magnetic field and boundary conditions on the vacuum of a quantized charged massive scalar matter field confined between two parallel plates; the magnetic field is directed orthogonally to the…

高能物理 - 理论 · 物理学 2015-06-18 Yu. A. Sitenko , S. A. Yushchenko

The Casimir effect giving rise to an attractive or repulsive force between the configuration boundaries that confine the massless scalar field is reexamined for one to three-dimensional pistons in this paper. Especially, we consider Casimir…

高能物理 - 理论 · 物理学 2008-11-26 Xiang-hua Zhai , Xin-zhou Li

The prototypical Casimir effect arises when a scalar field is confined between parallel Dirichlet boundaries. We study corrections to this when the boundaries themselves have apertures and edges. We consider several geometries: a single…

高能物理 - 理论 · 物理学 2011-11-02 Daniel Kabat , Dimitra Karabali , V. P. Nair

We study the influence of a background uniform magnetic field and boundary conditions on the vacuum of a quantized charged spinor matter field confined between two parallel neutral plates; the magnetic field is directed orthogonally to the…

高能物理 - 理论 · 物理学 2015-05-06 Yu. A. Sitenko

The Casimir effect for a massless scalar field with Dirichlet and periodic boundary conditions (b.c.) on infinite parallel plates is revisited in the local quantum field theory (lqft) framework introduced by B.Kay. The model displays a…

数学物理 · 物理学 2008-11-26 N. A. Kawakami , M. C. Nemes , W. F. Wreszinski
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