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We show that, contrary to recent criticism, our previous work yields a reasonable class of solutions for the massless scalar field in the presence of signature change.

General Relativity and Quantum Cosmology · Physics 2016-08-31 Tevian Dray , Corinne A. Manogue , Robin W. Tucker

This work is concerned with boundary conditions for one-dimensional hyperbolic relaxation systems with characteristic boundaries. We assume that the relaxation system satisfies the structural stability condition proposed by the second…

Analysis of PDEs · Mathematics 2020-10-15 Yizhou Zhou , Wen-An Yong

We compute the vacuum polarization for a massless, conformally coupled scalar field on the covering space of global, four-dimensional, anti-de Sitter space-time. Since anti-de Sitter space is not globally hyperbolic, boundary conditions…

General Relativity and Quantum Cosmology · Physics 2020-10-13 Thomas Morley , Peter Taylor , Elizabeth Winstanley

In this work we study the viable parameter space of the scalar sector in the type-II seesaw model. In identifying the allowed parameter space, we employ constraints from low energy precision measurements, theoretical considerations and the…

High Energy Physics - Phenomenology · Physics 2019-08-08 R. Primulando , J. Julio , P. Uttayarat

Finite-size critical systems defined on a parallel plate geometry of finite extent along one single ($z$) direction with Dirichlet and Neumann boundary conditions at $z=0,L$ are analyzed in momentum space. We introduce a modified…

Statistical Mechanics · Physics 2017-01-02 Messias V. S. Santos , José B. da Silva , Marcelo M. Leite

In this work, we consider the fractional Stefan-type problem in a Lipschitz bounded domain $\Omega\subset\mathbb{R}^d$ with time-dependent Dirichlet boundary condition for the temperature $\vartheta=\vartheta(x,t)$, $\vartheta=g$ on…

Analysis of PDEs · Mathematics 2022-08-15 Catharine W. K. Lo , José Francisco Rodrigues

Most available studies of quasi-normal modes for Lifshitz black solutions are limited to the neutral scalar perturbations. In this paper, we investigate the wave dynamics of massive charged scalar perturbation in the background of…

High Energy Physics - Theory · Physics 2017-06-05 M. Kord Zangeneh , B. Wang , A. Sheykhi , Z. Y. Tang

The Virasoro minimal models with boundary are described in the Landau-Ginzburg theory by introducing a boundary potential, function of the boundary field value. The ground state field configurations become non-trivial and are found to obey…

High Energy Physics - Theory · Physics 2009-11-10 A. Cappelli , G. D'Appollonio , M. Zabzine

The dynamical quantum effects arising due to the boundary presence with two types of boundary conditions (BC) satisfied by scalar fields are studied. It is shown that while the Neumann BC lead to the usual scalar field mass generation, the…

High Energy Physics - Theory · Physics 2009-11-10 A. N. Sissakian , O. Yu. Shevchenko , V. N. Samoilov

We study the Landau-Lifshitz system associated with Maxwell equations in a bilayered ferromagnetic body when super-exchange and surface anisotropy interactions are present in the spacer in-between the layers. In the presence of these…

Analysis of PDEs · Mathematics 2014-02-27 Gilles Carbou , Pierre Fabrie , Kévin Santugini-Repiquet

We solve the one dimensional massive Thirring model or equivalently the sine-Gordon model in the repulsive regime with general Dirichlet boundary conditions, which are characterized by two boundary fields $\phi_{L,R}$ associated with the…

High Energy Physics - Theory · Physics 2025-06-25 Parameshwar R. Pasnoori , Patrick Azaria

We consider a mixed type boundary value problem for a class of degenerate parabolic-hyperbolic equations. Namely, we consider a Cartesian product domain and split its boundary into two parts. In one of them we impose a Dirichlet boundary…

Analysis of PDEs · Mathematics 2022-08-24 Hermano Frid , Yachun Li

We examine spacetimes which generalize Lifshitz scaling to allow hyperscaling violation invariance (i.e. a constant conformal transformation) for the types of singularities frequently found in the Lifshitz case. We find that most of these…

High Energy Physics - Theory · Physics 2015-06-11 Keith Copsey , Robert Mann

In this article, we study the stability of black hole solutions found in the context of dilatonic Horava-Lifshitz gravity in $1+1$ dimensions by means of the quasinormal modes approach. In order to find the corresponding quasinormal modes,…

General Relativity and Quantum Cosmology · Physics 2016-02-22 Miguel Cruz , Manuel Gonzalez-Espinoza , Joel Saavedra , Diego Vargas-Arancibia

We consider dyonic black hole in hyperscaling violating Lifshitz theories arised in a four dimensional Einstein-Maxwell-dilaton system along with axion fields. Considering the linearised equation of relevant fluctuations in metric and gauge…

High Energy Physics - Theory · Physics 2019-06-07 Subir Mukhopadhyay , Chandrima Paul

There is not a unique solution to the electro- or magnetostatic problem where the "boundary condition" is merely a specification of the fields along a line. As a practical example, we consider the case where it is desired to have a magnetic…

Accelerator Physics · Physics 2007-05-23 Kirk T. McDonald , Heinrich Mitter

We study scalar perturbations of four dimensional topological nonlinear charged Lifshitz black holes with spherical and plane transverse sections, and we find numerically the quasinormal modes for scalar fields. Then, we study the stability…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Ramon Becar , P. A. Gonzalez , Yerko Vasquez

We show how the (globally supersymmetric) model of Mirabelli and Peskin can be formulated in the boundary (``downstairs'' or ``interval'') picture. The necessary Gibbons-Hawking-like terms appear naturally when using (codimension one)…

High Energy Physics - Theory · Physics 2009-11-11 Dmitry V. Belyaev

We review the first and second boundary value problems for the Stokes system posed in a bounded Lipschitz domain in $\mathbb{R}^n.$ Particular attention is given to the mixed boundary condition: a Dirichlet condition is imposed for the…

Analysis of PDEs · Mathematics 2018-03-06 John Fabricius

In this note we describe several procedures to construct, from known black-hole and black-brane solutions of any ungauged supergravity theory, non-trivial gravitational solutions whose "near-horizon" and "near-singularity" limits are…

High Energy Physics - Theory · Physics 2015-06-11 Pablo Bueno , Wissam Chemissany , Patrick Meessen , Tomas Ortin , C. S. Shahbazi
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