2024 Boundary condition for massive scalar field

Boundary condition for massive scalar field

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August undefined, 2024

Webcondition or to a massive scalar ﬁeld with m2>−d2/4 + 1 with a particular choice of the mixed boundary condition (the same choice which gives the boundary operator with … WebUniformly Magnetized Sphere. Consider a sphere of radius , with a uniform permanent magnetization , surrounded by a vacuum region. The simplest way of solving this problem is in terms of the scalar magnetic potential introduced in Equation ( 701 ). It follows from Equations ( 703) and ( 704 ) that satisfies Laplace's equation, because there is ...

Frontiers Polar Quasinormal Modes of Neutron Stars in Massive …

WebJun 15, 2024 · This Section 2.6 discusses how Maxwell’s equations strongly constrain the behavior of electromagnetic fields at boundaries between two media having different properties, where these constraint equations are called boundary condition s. Section 2.6.2 discusses the boundary conditions governing field components perpendicular to … WebApr 28, 2024 · In finite-element micromagnetics, the strayfield is usually solved in the differential form ( 1) and a hybrid method by Fredkin and Koehler 12 is used in order to resolve the boundary... tws ak

Casimir Effect for a Massive Scalar Field under Mixed …

WebMay 18, 2024 · In this work we consider the generalized zeta function method to obtain temperature corrections to the vacuum (Casimir) energy density, at zero temperature, associated with quantum vacuum fluctuations of a scalar field subjected to a helix boundary condition and whose modes propagate in (3+1)-dimensional Euclidean … WebFeb 10, 2024 · With the boundary condition (13), we can determine the quasinormal resonance spectrum { ω n ( M, Q, μ, q, l) } n = 0 n = ∞ characterizing the dynamics of the charged massive scalar field around the d -dimensional RN black hole. 3. The quasinormal resonance spectrum of the charged massive scalar perturbation WebThe effect of boundary conditions on both natural frequencies and normal modes is shown in this section for a straight beam with different end conditions. Generally, in a three … tamale what is

Galaxies Free Full-Text Singularities in Static Spherically ...

2.6: Boundary conditions for electromagnetic fields

WebThe quantum scalar field is in the Hartle-Hawking state, and we employ Euclidean methods to calculate the renormalized expectation values. Far from the black hole, we find that the vacuum polarization approaches a finite limit, which is the same for all boundary conditions except Dirichlet boundary conditions. WebApr 29, 2024 · Let us consider the free scalar field theory φ ( x, t) in a space of dimension 1+1, with Minkowski metric η μ ν = d i a g ( +, −). It is well known that it is described by the classical action. S [ φ] = 1 2 ∫ − ∞ ∞ d x d t ( ∂ μ φ) 2, where I assumed the following boundary conditions. φ ( ± ∞, t) = 0. tamale what is itWebJul 6, 2013 · Download PDF Abstract: So far analysis of the quasinormal spectrum of a massive charged scalar field in the black hole background has been limited by the regime of small \mu M and qQ, where \mu, q (M, Q) are mass and charge of the field (black hole). Here we shall present a comprehensive picture of quasinormal modes, late-time tails and … tws airline

"WebNov 22, 2024 · Second, we investigate whether, for a given boundary condition, there exists a ground state by constructing explicitly its two-point function. We demonstrate that for … " - Boundary condition for massive scalar field

Boundary condition for massive scalar field

Normal mode analysis for scalar fields in BTZ black hole background

WebJun 26, 2024 · In this work, we focus on static massive scalar fields with nodes. We analytically obtain a bound on the coupling parameter. Below the bound, the static massive scalar field with nodes cannot exist outside the object. In particular, our conclusion is independent of surface boundary conditions. WebWith the resonances of the scalar KK modes as the initial data, the scalar field is evolved with the maximally dissipative boundary condition. The results show that there are scalar KK resonant particles with long life on the brane, which indicates that these resonances might be regarded as a candidate for dark matter.

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WebWe review the construction of ground states focusing on a real scalar field whose dynamics is ruled by the Klein–Gordon equation on a large class of static spacetimes. As in the analysis of the classical equations of motion, when enough isometries are present, via a mode expansion the construction of two-point correlation functions boils down to solving … WebAug 31, 2024 · There are a number of publications on relativistic objects dealing either with black holes or naked singularities in the center. Here we show that there exist static spherically symmetric solutions of Einstein equations with a strongly nonlinear scalar field, which allow the appearance of singularities of a new type (“spherical singularities”) …

WebWe investigate the influence of noninertial effects on the ground state energy of a massive scalar field in the cosmic string spacetime. We generalize the results obtained by Khusnutdinov and Bordag [N. R. Khusnutdinov and M. Bordag, Phys. Rev. D 59 , 064017 (1999)] to a noninertial reference frame and show, by contrast, that a non-vanishing ... WebThis boundary condition is extremely simple and consists of setting the gradient of a field to zero at the edge. The outside value is set equal to the closest interior value. Wall …

WebNov 23, 2024 · As far as the authors know, results concerning a field theory with two massive poles and in the presence of boundary conditions were not considered in the … WebThe solutions are classified in terms of their square integrability near the horizon and the conformal infinity, which gives us the range of the effective squared mass of the scalar …

WebOct 15, 1997 · The Casimir energy corresponding to a massive scalar field with Dirichlet boundary conditions on a spherical surface is obtained. The field is considered, …

tws and cewsWebNov 22, 2024 · We consider a real, massive scalar field in Ba\~nados-Teitelboim-Zanelli spacetime, a $2+1$-dimensional black hole solution of Einstein's field equations with a negative cosmological constant. First, we analyze the space of classical solutions in a mode decomposition, and we characterize the collection of all admissible boundary … tws alaska chapterWebMagnetic boundary conditions (continued) If Ampère’s law becomes as the contributions from the perpendicular components of Bvanish as the sides of the loop approach zero size. Thus For the components perpendicular to the surface, use with a Gaussian pillbox that has very short sides: L δ δ Bbelow tws androidWebHowever, to solve the on shell differential equation (i.e the equation of motion ), we need some proper boundary conditions that should be imposed on the scalar field. … tamale with salsaWebDec 1, 2003 · We discuss the Casimir effect for a massive bosonic field with mixed (Dirichlet-Neumann) boundary conditions. We use the zeta-function regularization prescription to obtain our physical results. tamale with moleWebSep 1, 2002 · Boundary Condition Boundary Conditions as Mass Generation Mechanism for Real Scalar Fields DOI: 10.1590/S0103-97332002000400022 Source arXiv License CC BY-NC 4.0 Authors: Nogueira J. A.... tamale with eggWebApr 10, 2024 · Equation (17) is called synchronisation condition and does depend on the scalar field's effective mass, μ eff = m 2 B 0 2. The ratio w / μ eff = 2 Q / r + is … tamale without lard