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String amplitudes with an arbitrary number of world-sheet boundaries on which the coordinates satisfy Dirichlet boundary conditions are analyzed in a path integral framework. Special attention is payed to the novel divergences associated…

High Energy Physics - Theory · Physics 2016-09-06 Michael Gutperle

The Higgs mechanism of mass generation is the main ingredient in the contemporary Standard Model and its various generalizations. However, there is no comprehensive theory of spontaneous symmetry breaking. We summarize the relevant…

Mathematical Physics · Physics 2008-04-04 G. Sardanashvily

The field theory with high space-time symmetry is considered with the aim to examine the mass-shell particles production processes. The general conclusion is following: no real particle production exists if the space-time symmetry…

High Energy Physics - Theory · Physics 2012-07-12 J. Manjavidze

Using a recent understanding of mass generation for Yang-Mills theory and a quartic massless scalar field theory mapping each other, we show that when such a scalar field theory is coupled to a gauge field and Dirac spinors, all fields…

High Energy Physics - Theory · Physics 2010-12-30 Marco Frasca

The simple examples of spontaneous breaking of various symmetries for the scalar theory with fundamental mass have been considered. Higgs generalizations on "fundamental mass" were introduced into the theory on a basis of the…

High Energy Physics - Theory · Physics 2007-05-23 Umida Khodjaeva

We consider the thermal Casimir effect in systems of parallel plates coupled to a mass-less free field theory via quadratic interaction terms which suppress (i) the field on the plates (ii) the gradient of the field in the plane of the…

Statistical Mechanics · Physics 2009-01-27 David S. Dean

We study the vacuum fluctuations of a massless scalar field $\hat{\Psi}$ on the background of a global monopole. Due to the nontrivial topology of the global monopole spacetime, characterized by a solid deficit angle parametrized by…

General Relativity and Quantum Cosmology · Physics 2018-09-19 V. S. Barroso , J. P. M. Pitelli

It is well known that boundary conditions on quantum fields produce divergences in the renormalized energy-momentum tensor near the boundaries. Although irrelevant for the computation of Casimir forces between different bodies, the…

High Energy Physics - Theory · Physics 2015-05-30 Francisco D. Mazzitelli , Jean Paul Nery , Alejandro Satz

The paper wishes to demonstrate that, in quantum systems with boundaries, different boundary conditions can lead to remarkably different physical behaviour. Our seemingly innocent setting is a one dimensional potential well that is divided…

Quantum Physics · Physics 2009-11-13 Tamas Fulop , Izumi Tsutsui

We get deeper understanding of the role played by boundary conditions in quantum field theory, by studying the structure of a scalar massless quantum field theory bounded by two one dimensional planar crystal plates. The system can also be…

Mathematical Physics · Physics 2011-09-23 J. M. Munoz-Castaneda , M. Bordag

A new method to compute the symplectic structure of a quantum field theory with non trivial boundary conditions is proposed. Following the suggestion in \cite{ho:gnus, ardalan}, we regard that the boundary conditions are second class…

High Energy Physics - Theory · Physics 2016-02-17 Juan M. Romero , J. David Vergara

In this work, we present a new type of scalar clouds supported by spherically symmetric horizonless compact objects in the scalar-Gauss-Bonnet theory. Unlike the previous spontaneous scalarization that is triggered by the tachyonic…

General Relativity and Quantum Cosmology · Physics 2023-04-21 Shao-Jun Zhang

In this work the spontaneous symmetry breaking in certain nonlinear theories with second-class constraints is explored. Using the Dirac's method we perform an analysis of the constraints and the counting of the degrees of freedom. The…

High Energy Physics - Theory · Physics 2022-09-14 C. A. Escobar , Román Linares

In the framework of the Lagrangian field theory, we derive a type of new non-classical natural boundary condition to be correlated with the mean curvature of boundary surface. Under the condition of homogeneity and isotropy, this type of…

Mathematical Physics · Physics 2018-02-13 Zaixing Huang

We study whether the solutions of a fully nonlinear, uniformly parabolic equation with superquadratic growth in the gradient satisfy initial and homogeneous boundary conditions in the classical sense, a problem we refer to as the classical…

Analysis of PDEs · Mathematics 2017-10-31 Alexander Quaas , Andrei Rodríguez

An alternative for the Higgs mechanism is proposed. It predicts the appearance in the broken phase of a scalar background field which may be interpreted as describing an almost uniform (i.e., homogeneous and isotropic) superfluid condensate…

High Energy Physics - Phenomenology · Physics 2008-02-03 V. Delgado

We study conformal boundary conditions for the theory of a single real scalar to investigate whether the known Dirichlet and Neumann conditions are the only possibilities. For this free bulk theory there are strong restrictions on the…

High Energy Physics - Theory · Physics 2021-05-03 Connor Behan , Lorenzo Di Pietro , Edoardo Lauria , Balt C. van Rees

We study the vacuum polarization (Casimir) energy in renormalizable, continuum quantum field theory in the presence of a background field, designed to impose Dirichlet boundary conditions on the fluctuating quantum field. In two and three…

High Energy Physics - Theory · Physics 2007-05-23 H. Weigel

Boundary conditions changing operators have played an important role in conformal field theory. Here, we study their equivalent in the case where a mass scale is introduced, in an integrable way, either in the bulk or at the boundary. More…

High Energy Physics - Theory · Physics 2009-10-31 F. Lesage , H. Saleur

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