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We examine vacuum fluctuations in theories with modified dispersion relations which represent dimensional reduction at high energies. By changing units of energy and momentum we can obtain a description rendering the dispersion relations…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Michele Arzano , Giulia Gubitosi , Joao Magueijo , Giovanni Amelino-Camelia

The idealized theory of quantum vacuum energy density is a beautiful application of the spectral theory of differential operators with boundary conditions, but its conclusions are physically unacceptable. A more plausible model of a…

Quantum Physics · Physics 2012-11-20 J. D. Bouas , S. A. Fulling , F. D. Mera , K. Thapa , C. S. Trendafilova , J. Wagner

A massless scalar field minimally coupled to gravity and propagating in the Schwarzschild spacetime is considered. After dimensional reduction under spherical symmetry the resulting 2D field theory is canonically quantized and the…

High Energy Physics - Theory · Physics 2008-11-26 R. Balbinot , A. Fabbri , V. Frolov , P. Nicolini , P. Sutton , A. Zelnikov

Equipped with new powerful and efficient methods for computing quantum expectation values in static-spherically symmetric spacetimes in arbitrary dimensions, we perform an in-depth investigation of how the quantum vacuum polarization varies…

General Relativity and Quantum Cosmology · Physics 2018-11-21 Cormac Breen , Peter Taylor

We compute the vacuum polarisation correction to the binding energy of nuclear matter in the Walecka model using a nonperturbative approach. We first study such a contribution as arising from a ground state structure with baryon-antibaryon…

Nuclear Theory · Physics 2008-11-26 A. Mishra , P. K. Panda , S. Schramm , J. Reinhardt , W. Greiner

Non-perturbative vacuum polarization effects are explored for a supercritical Dirac-Coulomb system with $Z > Z_{cr,1}$ in 2+1 D, based on the original combination of analytical methods, computer algebra and numerical calculations, proposed…

High Energy Physics - Theory · Physics 2018-01-09 Andrey Davydov , Konstantin Sveshnikov , Yulia Voronina

There are two types of fluctuations in the quantum vacuum: type 1 vacuum fluctuations are on shell and can interact with matter in specific, limited ways that have observable consequences; type 2 vacuum fluctuations are off shell and cannot…

Quantum Physics · Physics 2020-03-31 G. B. Mainland , Bernard Mulligan

The fundamental vacuum state of quantum fields, related to Minkowski space, produces divergent fluctuations that must be suppressed in order to bring reality to the description of physical systems. As a consequence, negative vacuum…

Quantum Physics · Physics 2021-06-14 G. H. S. Camargo , V. A. De Lorenci , A. L. Ferreira Junior , C. C. H. Ribeiro

When the vacuum state of a scalar or electromagnetic field is modified by the presence of a reflecting boundary, an interacting test particle undergoes velocity fluctuations. Such effect is regarded as a sort of quantum analog of the…

Quantum Physics · Physics 2020-02-11 G. H. S. Camargo , V. A. De Lorenci , C. C. H. Ribeiro , F. F. Rodrigues

Massive Klein-Gordon theory is quantized on a timelike hyperplane in Minkowski space using the framework of general boundary quantum field theory. In contrast to previous work, not only the propagating sector of the phase space is…

High Energy Physics - Theory · Physics 2021-11-12 Daniele Colosi , Robert Oeckl

Self-consistent Hamiltonian formulation of scalar theory on the null plane is constructed following Dirac method. The theory contains also {\it constraint equations}. They would give, if solved, to a nonlinear and nonlocal Hamiltonian. The…

High Energy Physics - Theory · Physics 2010-11-01 Prem P. Srivastava

Casimir forces are conventionally computed by analyzing the effects of boundary conditions on a fluctuating quantum field. Although this analysis provides a clean and calculationally tractable idealization, it does not always accurately…

High Energy Physics - Theory · Physics 2008-11-26 N. Graham , R. L. Jaffe , V. Khemani , M. Quandt , O. Schroeder , H. Weigel

In the present study, we consider the effects of vacuum birefringence and dichroism in strong electromagnetic fields. According to quantum electrodynamics, the vacuum state exhibits different refractive properties depending on the probe…

High Energy Physics - Phenomenology · Physics 2023-03-30 I. A. Aleksandrov , V. M. Shabaev

All experimental evidence {indicates} that the vacuum is not void, but filled with something truly quantum. This is reflected by terms such as {zero-point} fluctuations, and Dirac's sea of virtual particle-antiparticle pairs, and last but…

Quantum Physics · Physics 2025-07-29 Gerd Leuchs , Luis L. Sanchez-Soto

When photons propagate in vacuum they may fluctuate into matter pairs thus allowing the vacuum to be polarised. This linear effect leads to charge screening and renormalisation. When exposed to an intense background field a nonlinear effect…

High Energy Physics - Phenomenology · Physics 2023-09-06 A. J. Macleod , J. P. Edwards , T. Heinzl , B. King , S. V. Bulanov

The positive energy theorem precludes the possibility of Minkowski flat space decaying by any mechanism. In certain circumstances, however, large quantum fluctuations of the gravitational field could arise---not only at the Planck scale,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 G. Modanese

The evolution of the vacuum state in a time-dependent external electric field of arbitrary polarization is investigated within a nonperturbative framework of quantum kinetic equations (QKEs). In our previous work [Phys. Rev. Res. 6, 043009…

High Energy Physics - Phenomenology · Physics 2026-02-03 I. A. Aleksandrov , V. A. Bokhan , A. I. Baksheev , A. Kudlis

The focusing of the vacuum modes of a quantized field by a parabolic mirror is investigated. We use a geometric optics approximation to calculate the energy density and mean squared field averages for scalar and electromagnetic fields near…

Quantum Physics · Physics 2016-09-08 L. H. Ford , N. F. Svaiter

We investigate the effects of a $(D+1)$-dimensional global monopole core on the behavior of a quantum massive scalar field with general curvature coupling parameter. In the general case of the spherically symmetric static core, formulae are…

High Energy Physics - Theory · Physics 2009-11-11 E. R. Bezerra de Mello , A. A. Saharian

The problem of boundary conditions in a supersymmetric theory of quantum cosmology is studied, with application to the one-loop prefactor in the quantum amplitude. Our background cosmological model is flat Euclidean space bounded by a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Peter D. D'Eath , Giampiero Esposito