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Related papers: Vacuum Polarization Effects of Pointlike Impurity

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We study the vacuum zero point energy associated to a scalar field with an arbitrary mass and conformal coupling in a dS background. Employing dimensional regularization scheme, we calculate the regularized zero point energy density,…

General Relativity and Quantum Cosmology · Physics 2023-09-25 Hassan Firouzjahi , Haidar Sheikhahmadi

An analysis of the one-loop vacuum fluctuations associated with a scalar field confined in the interior of a infinite waveguide of rectangular cross section is presented. We first consider the massless scalar field defined in a…

High Energy Physics - Theory · Physics 2007-05-23 R. B. Rodrigues , N. F. Svaiter

The response of vacuum to the presence of external conditions is the subject of this work. We consider a generalization of the Casimir effect in the presence of curved boundaries on which a sharp potential is concentrated. The profile of…

High Energy Physics - Theory · Physics 2007-05-23 M. Scandurra

We discuss the response of vacuum fluctuations to a static potential in the context of massive, ghost-free infinite-derivative scalar field theories in two dimensions. For the special case of a $\delta$-like potential, $V=\lambda…

High Energy Physics - Theory · Physics 2019-04-30 Jens Boos , Valeri P. Frolov , Andrei Zelnikov

In this paper we analyse the vacuum polarization effect associated with the charged massless scalar field, in the presence of magnetic flux at finite temperature, in the cosmic string background. We consider a spacetime of an idealized…

High Energy Physics - Theory · Physics 2008-11-26 J. Spinelly , E. R. Bezerra de Mello

We investigate quantum effects on topological black hole space-times within the framework of quantum field theory on curved space-times. Considering a quantum scalar field, we extend a recent mode-sum regularization prescription for the…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Thomas Morley , Peter Taylor , Elizabeth Winstanley

The optimized $\delta$-expansion is used to study vacuum polarization effects in the Walecka model. The optimized $\delta$-expansion is a nonperturbative approach for field theoretic models which combines the techniques of perturbation…

Nuclear Theory · Physics 2009-10-28 G. Krein , D. P. Menezes , M. B. Pinto

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

In this paper we investigate the vacuum energies of several models of quantum fields interacting with static external currents (linear couplings) concentrated along parallel branes with an arbitrary number of codimensions. We show that we…

High Energy Physics - Theory · Physics 2008-12-30 F. A. Barone , G. Flores-Hidalgo

Recently, Ba\~nados, Teitelboim and Zanelli obtained spherically symmetric black hole solutions in a particular class of Einstein--Lovelock gravity. We derive the propagator in an exact form for a conformal scalar field in the…

General Relativity and Quantum Cosmology · Physics 2019-02-05 Kiyoshi Shiraishi , Takuya Maki

We compute the ground state energy of a massive scalar field in the background of a cylindrical shell whose potential is given by a delta function. The zero point energy is expressed in terms of the Jost function of the related scattering…

High Energy Physics - Theory · Physics 2008-11-26 Marco Scandurra

We present a theoretical formulation for the description of nuclear excitations within the framework of relativistic random-phase approximation whereby the vacuum polarization arising from nucleon-antinucleon fields is duly accounted for.…

Nuclear Theory · Physics 2009-11-11 A. Haga , H. Toki , S. Tamenaga , Y. Horikawa , H. L. Yadav

We study the vacuum polarization effects associated with a massive fermionic field in a spacetime produced by a global monopole considering a nontrivial inner structure for it. In the general case of the spherically symmetric static core…

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

We investigate the combined effects of a uniform magnetic field and boundary conditions on vacuum energy and topological mass generation in a coupled scalar field theory. The system consists of a real scalar field, subject to Dirichlet…

High Energy Physics - Theory · Physics 2025-12-11 A. J. D. Farias Junior , Andrea Erdas , Herondy F. Santana Mota

With the aim of progressing toward a practical implementation of an effective quantum-electrodynamics (QED) theory of atoms and molecules, which includes the effects of vacuum polarization through the creation of virtual electron-positron…

Quantum Physics · Physics 2025-03-11 Timothée Audinet , Umberto Morellini , Antoine Levitt , Julien Toulouse

In the paper the one-dimensional one-center scattering problem with the initial potential $\alpha |x|^{-1}$ on the whole axis is treated and reduced to the search for allowable self-adjoint extensions. Using the laws of conservation as…

Quantum Physics · Physics 2007-05-23 V. S. Mineev

The Pauli--Villars regularization procedure confirms and sharpens the conclusions reached previously by covariant point splitting. The divergences in the stress tensor of a quantized scalar field interacting with a static scalar potential…

High Energy Physics - Theory · Physics 2018-03-07 S. A. Fulling , T. E. Settlemyre , K. A. Milton

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 2011-11-18 Eugênio R. Bezerra de Mello , Aram A. Saharian

Vacuum energy in quantum field theory, being the sum of zero-point energies of all field modes, is formally infinite but yet, after regularization or renormalization, can give rise to finite observable effects. One way of understanding how…

High Energy Physics - Theory · Physics 2015-05-13 Tomasz Konopka

We study vacuum polarisation effects of a Dirac field coupled to an external scalar field and derive a semi-classical expansion of the regu-larised vacuum energy. The leading order of this expansion is given by a classical formula due to…

Mathematical Physics · Physics 2016-02-24 Jonas Lampart , Mathieu Lewin