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The linearized Einstein field equations with the renormalized stress tensor of a massless quantum scalar field as source are solved in the 4-dimensional spacetime near an infinite plane boundary. The motion of particles and light is…

High Energy Physics - Theory · Physics 2013-04-24 V. A. De Lorenci , L. G. Gomes , E. S. Moreira

The incorporation of classical general relativity into quantum field theory yields a surprising result -- thermodynamic particle production. One such phenomenon, known as the Unruh effect, causes empty space to effervesce a thermal bath of…

General Relativity and Quantum Cosmology · Physics 2022-05-16 Morgan H. Lynch

The combined effect of the magnetic field background in the form of a singular vortex and the Dirichlet boundary condition at the location of the vortex on the vacuum of quantized scalar field is studied. We find the induced vacuum energy…

High Energy Physics - Theory · Physics 2009-10-30 Yu. A. Sitenko , A. Yu. Babansky

The mean force exerted upon a perfect mirror moving in vacuum in a two dimensional spacetime has the same expression as the radiation reaction force computed in classical electron theory. It follows that unacceptable runaway solutions are…

Quantum Physics · Physics 2009-11-07 Marc-Thierry Jaekel , Serge Reynaud

Dirichlet boundary conditions on a surface can be imposed on a scalar field, by coupling it quadratically to a $\delta$-like potential, the strength of which tends to infinity. Neumann conditions, on the other hand, require the introduction…

High Energy Physics - Theory · Physics 2014-11-20 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

Matter-wave bright solitons are predicted to reflect from a purely attractive potential well although they are macroscopic objects with classical particle-like properties. The non-classical reflection occurs at small velocities and a…

Other Condensed Matter · Physics 2007-05-23 Chaohong Lee , Joachim Brand

Moving mirrors are submitted to reaction forces by vacuum fields. The motional force is known to vanish for a single mirror uniformly accelerating in vacuum. We show that inertial forces (proportional to accelerations) arise in the presence…

Quantum Physics · Physics 2009-11-07 Marc-Thierry Jaekel , Serge Reynaud

We consider a real massless scalar field in 1+1 dimensions satisfying time-dependent Robin boundary condition at a static wall. This condition can simulate moving reflecting mirrors whose motions are determined by the time-dependence of the…

High Energy Physics - Theory · Physics 2011-08-12 Hector O. Silva , C. Farina

A perfectly reflecting accelerating boundary produces thermal emission to an observer at $\mathscr{I}_L^+$ and a finite amount of energy to an observer at $\mathscr{I}_R^+$ by asymptotically traveling to the speed of light without an…

General Relativity and Quantum Cosmology · Physics 2017-09-13 Michael R. R. Good

We study the Dynamical Casimir Effect (DCE) for a real scalar field $\varphi$ in $d+1$ dimensions, in the presence of a mirror that imposes Dirichlet boundary conditions and undergoes time-dependent motion or deformation. Using a…

High Energy Physics - Theory · Physics 2026-05-19 B. C. Guntsche , C. D. Fosco

The Unruh effect is the prediction that particle detectors accelerated through the vacuum get excited by the apparent presence of radiation quanta -- a fundamental quantum phenomenon in the presence of acceleration. Prior treatments of the…

Quantum Physics · Physics 2021-06-02 Vivishek Sudhir , Nadine Stritzelberger , Achim Kempf

We begin with a scenario that involves point-like observers starting at t=0 from the origin O of an inertial reference frame. They move with all possible proper accelerations in the positive direction of the OX axis. Equipped with light…

General Physics · Physics 2008-12-02 Bernhard Rothenstein , Stefan Popescu

Vacuum fluctuations of quantum fields provide an unavoidable environment for any quantum system coupled to it. We study the interplay between boundary conditions and acceleration in determining decoherence of a two-level Unruh-DeWitt…

General Relativity and Quantum Cosmology · Physics 2026-04-06 Harkirat Singh Sahota , Shagun Kaushal , Kinjalk Lochan

We discuss two effects predicted by the general theory of relativity in the context of Rindler accelerated observers: the gravitational spectral shift and the time delay of light. We show that these effects also appear in a Rindler frame in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. B. Formiga , C. Romero

We study, in the framework of open quantum systems, the geometric phase acquired by a uniformly accelerated two-level atom undergoing nonunitary evolution due to its coupling to a bath of fluctuating vacuum electromagnetic fields in the…

Quantum Physics · Physics 2012-03-28 Jiawei Hu , Hongwei Yu

The Maxwell field equations relative to a uniformly accelerated frame, and the variational principle from which they are obtained, are formulated in terms of the technique of geometrical gauge invariant potentials. They refer to the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Francis J. Alexander , Ulrich H. Gerlach

The Minkowski vacuum in an accelerated frame behaves like a fluid that has not only a finite temperature due to the Unruh effect, but also a finite shear viscosity. Moreover, the ratio of this viscosity to the entropy density exactly…

High Energy Physics - Theory · Physics 2025-02-26 Dmitry D. Lapygin , Georgy Yu. Prokhorov , Oleg V. Teryaev , Valentin I. Zakharov

We investigate the fate of initial entanglement between two accelerated detectors with respect to an observer attached to one of the detectors. Both $(1+1)$ and $(1+3)$ spacetime dimensions are being considered here, with the detectors…

High Energy Physics - Theory · Physics 2022-05-25 Pratyusha Chowdhury , Bibhas Ranjan Majhi

We present and utilize a simple formalism for the smooth creation of boundary conditions within relativistic quantum field theory. We consider a massless scalar field in $(1+1)$-dimensional flat spacetime and imagine smoothly transitioning…

High Energy Physics - Theory · Physics 2017-01-10 Eric G. Brown , Jorma Louko

The instantaneous transition rate of an arbitrarily accelerated Unruh-DeWitt particle detector on four-dimensional Minkowski space is ill defined without regularisation. We show that Schlicht's regularisation as the zero-size limit of a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jorma Louko , Alejandro Satz