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For field theories in one time and one space dimensions we propose an efficient method to compute the vacuum polarization energy of static field configurations that do not allow a decomposition into symmetric and anti--symmetric channels.…

High Energy Physics - Theory · Physics 2017-01-13 H. Weigel

We compute the vacuum polarization energy of soliton configurations in a model with two scalar fields in one space dimension using spectral methods. The second field represents an extension of the conventional $\phi^4$ kink soliton model.…

High Energy Physics - Theory · Physics 2018-07-24 H. Weigel , N. Graham

We propose an efficient method to compute the vacuum polarization energy of static field configurations that do not allow a decomposition into symmetric and anti-symmetric channels in one space dimension. In particular we compute the vacuum…

High Energy Physics - Theory · Physics 2017-08-03 H. Weigel

The quantum properties of solitons at one loop can be related to phase shifts of waves on the soliton background. These can be combined with heat kernel methods to calculate various parameters. The vacuum energy of a CP(1) soliton in 2+1…

High Energy Physics - Theory · Physics 2009-10-31 Ian G. Moss

We compute the vacuum polarization energies for a couple of soliton models in one space and one time dimensions. These solitons are mappings that connect different degenerate vacua. From the considered sample solitons we conjecture that the…

High Energy Physics - Theory · Physics 2019-07-26 H. Weigel

We compute the vacuum polarization energy of kink solitons in the $\phi^{8}$ model in one space and one time dimensions. There are three possible field potentials that have eight powers of $\phi$ and that possess kink solitons. For these…

High Energy Physics - Theory · Physics 2020-12-30 I. Takyi , M. K. Matfunjwa , H. Weigel

We present a method to obtain soliton solutions to relativistic system of coupled scalar fields. This is done by examining the energy associated to static field configurations. In this case we derive a set of first-order differential…

High Energy Physics - Theory · Physics 2008-11-26 D. Bazeia , M. J. dos Santos , R. F. Ribeiro

We compute the vacuum polarization of a massless minimally co pled scalar field in a background given by a black hole with subtracted geometry. Extending previous results for the horizon of rotating black holes with no charge, we obtain an…

General Relativity and Quantum Cosmology · Physics 2017-05-10 Alejandro Satz , Mirjam Cvetic

The vacuum polarization energy is the leading quantum correction to the classical energy of a soliton. We study this energy for two-component solitons in one space dimension as a function of the soliton's topological charge. We find that…

High Energy Physics - Theory · Physics 2025-05-26 N. Graham , H. Weigel

We present three distinct types of models of dark energy in the form of a scalar field which is explicitly coupled to dark matter. Our construction draws from the pull-back formalism for fluids and generalises the fluid action to involve…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-11 A. Pourtsidou , C. Skordis , E. J. Copeland

We study the vacuum polarization effect in the spacetime generated by a magnetic flux cosmic string in the framework of a scalar-tensor gravity. The vacuum expectation values of the energy-momentum tensor of a conformally coupled scalar…

General Relativity and Quantum Cosmology · Physics 2014-11-17 V. B. Bezerra , R. M. Teixeira Filho , G. Grebot , M. E. X. Guimaraes

The coupled-channel technique augments a non-relativistic distorted wave born approximation scattering calculation to include a coupling to virtual states from the negative energy region. It has been found to be important in low energy…

Nuclear Theory · Physics 2023-11-29 S. P. Weppner , Prakrut Patel , C. Miller , C. Ogg , I. Mazumdar

Excited hadrons are seen as resonances in the scattering of lighter stable hadrons like $\pi$, $K$ and $\eta$. Many decay into multiple final states necessitating coupled-channel analyses. Recently it has become possible to obtain…

High Energy Physics - Lattice · Physics 2016-11-23 David J. Wilson

When exposed to intense electromagnetic fields, the quantum vacuum is expected to exhibit properties of a polarisable medium akin to a weakly nonlinear dielectric material. Various schemes have been proposed to measure such vacuum…

High Energy Physics - Phenomenology · Physics 2016-03-08 B. King , T. Heinzl

In this work, we present a general procedure, which is able to generate new exact solitonic models in 1+1 dimensions, from a known one, consisting of two coupled scalar fields. An interesting consequence of the method, is that of the…

High Energy Physics - Theory · Physics 2007-05-23 Alvaro de Souza Dutra

We outline a general formalism for treating vacuum polarization phenomena within an effective field expansion. The coupling between source charges and virtual fields is examined from the perspectives of electrostatic potentials, induced…

Atomic Physics · Physics 2024-08-08 D. J. Flynn , I. P. Grant , H. M. Quiney

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 compute the vacuum polarization energies (VPE) of solitons in a self-dual impurity model in which the soliton profiles take the shape of a separated kink-antikink pair. Classically the soliton energies are invariant under the change of a…

High Energy Physics - Theory · Physics 2023-02-08 I. Takyi , H. Weigel

In this paper the interaction of a scalar field and the electromagnetic field in phase space is analyzed. The scattering process is calculated up to first order in the Planck constant which is obtained by an expansion of the Moyal product…

High Energy Physics - Theory · Physics 2018-08-29 R. G. G. Amorim , J. S da Cruz Filho , A. F. Santos , S. C. Ulhoa

We study the properties of voids in two different types of coupled scalar field theories. Due to the fifth force produced by the scalar field coupling, the matter particles feel stronger attraction amongst each other and cluster more…

Cosmology and Nongalactic Astrophysics · Physics 2012-07-04 Baojiu Li
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