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We consider the effects of homogeneous Dirichlet's boundary conditions on two infinite parallel plane surfaces separated by a small distance {\it a}. We find that although spontaneous symmetry breaking does not occur for the theory of a…

High Energy Physics - Theory · Physics 2007-05-23 Jose Alexandre Nogueira , Pedro Leite Barbieri

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

The scalar field theory and the scalar electrodynamics quantized in the flat gap are considered. The dynamical effects arising due to the boundary presence with two types of boundary conditions (BC) satisfied by scalar fields are studied.…

High Energy Physics - Theory · Physics 2015-07-27 A. N. Sissakian , O. Yu. Shevchenko , V. N. Samoilov

The boundary of a manifold can alter the phase of a theory in the bulk. We explore the possibility of a boundary-induced phase transition for the chiral symmetry of QCD. In particular, we investigate the consequences of imposing homogeneous…

High Energy Physics - Lattice · Physics 2013-08-29 B. C. Tiburzi

We analyze the matching of high and low temperature expansions of the effective action of massive scalar fields confined between two infinite walls with different boundary conditions. One remarkable low temperature effect is the exponential…

High Energy Physics - Theory · Physics 2026-05-12 Manuel Asorey , Fernando Ezquerro

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

The classical scalar massive field satisfying the Klein-Gordon equation in a finite one-dimensional space interval of periodically varying length with Dirichlet boundary conditions is studied. For the sufficiently small mass, the energy can…

Mathematical Physics · Physics 2008-11-26 J. Dittrich , P. Duclos

We consider the case of a free real massive bulk scalar in D=4 dimensions, and embed two parallel plates as interfaces on which we impose non-linear boundary conditions, either Dirichlet- or Neumann-like, parameterized by a new coupling…

High Energy Physics - Theory · Physics 2025-12-11 Fabrizio Canfora , David Dudal , Thomas Oosthuyse , Pablo Pais , Luigi Rosa , Sebbe Stouten

In this paper the effective potential approach in quantum field theory is used in order to investigate self-interaction loop correction to the Casimir energy density and generation of topological mass for both massless and massive real…

High Energy Physics - Theory · Physics 2022-11-18 A. J. D. Farias Junior , Herondy F. Santana Mota

It is considered in this work the phase transition patterns for a coupled two-scalar field system model under the combined effects of finite sizes and temperature. The scalar fields are taken as propagating in a D=4 Euclidean space with the…

High Energy Physics - Phenomenology · Physics 2023-03-30 Lucas G. Câmara , Rudnei O. Ramos

We study the effect of boundary conditions on vacuum polarization for charged scalar fields in two space-time dimensions. We find that both Dirichlet and Neumann boundary conditions lead to screening. In the Dirichlet case, the vacuum…

High Energy Physics - Theory · Physics 2021-01-22 Jonathan Wernersson , Jochen Zahn

We analyze the dynamical Casimir effect for a massless scalar field confined between two concentric spherical shells which impose on the field mixed boundary conditions. We thus complement a previous result [Phys. Rev. A \textbf{78}, 032521…

Quantum Physics · Physics 2009-04-27 F. Pascoal , L. C. Céleri , S. S. Mizrahi , M. H. Y. Moussa , C. Farina

We study systems containing electrons and nuclei. Based on the fact that the thermodynamic limit exists for systems with Dirichlet boundary conditions, we prove that the same limit is obtained if one imposes other boundary conditions such…

Mathematical Physics · Physics 2007-05-23 David Hasler , Jan Philip Solovej

A Lorentz symmetry violation aether-type theoretical model is considered to investigate the Casimir effect and the generation of topological mass associated with a self-interacting massive scalar fields obeying Dirichlet, Newman and mixed…

High Energy Physics - Theory · Physics 2020-08-12 M. B. Cruz , E. R. Bezerra de Mello , H. F. Santana Mota

Constraints to the mass of a scalar field and the strength of its self-interacting coupling constant are obtained. This was done using observations of stellar dynamics at the center of our galaxy and by assuming that the dark compact object…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 J. Barranco , A. Bernal

Ladder diagrams are relevant for the study of bound states. The condition upon the coupling strength for the existence of a bound state has been deduced in a scalar field theory for the case of low mass exchanges. We apply this approach to…

High Energy Physics - Theory · Physics 2008-11-26 Stefano De Leo , Pietro Rotelli

The imposition of boundary conditions upon a quantized field can lead to singular energy densities on the boundary. We treat the boundaries as quantum mechanical objects with a nonzero position uncertainty, and show that the singular energy…

Quantum Physics · Physics 2009-10-31 L. H. Ford , N. F. Svaiter

I examine the effect of trying to impose a Dirichlet boundary condition on a scalar field by coupling it to a static background. The zero point -- or Casimir -- energy of the field diverges in the limit that the background forces the field…

High Energy Physics - Theory · Physics 2009-11-10 R. L. Jaffe

We investigate numerically the influence of Dirichlet boundary conditions on the nearest neighbor level spacing distribution $P(s)$ of a two-dimensional disordered tight-binding model in the presence of a strong perpendicular magnetic…

Disordered Systems and Neural Networks · Physics 2017-09-27 H. Potempa , L. Schweitzer

In this paper we consider a massive self-interacting scalar quantum field in a Lorentz-violation scenario based on a Horava-Lifshitz model. Specifically, we investigate the vacuum energy density and its loop correction, up to first order in…

High Energy Physics - Theory · Physics 2025-05-09 A. J. D. Farias Junior , E. R. Bezerra de Mello , Herondy Mota
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