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We study potentially observable consequences of spatiotemporal discreteness for the motion of massive and massless particles. First we describe some simple intrinsic models for the motion of a massive point particle in a fixed causal set…

General Relativity and Quantum Cosmology · Physics 2009-11-25 Fay Dowker , Lydia Philpott , Rafael Sorkin

Basic ideas and results which characterize quantum diffusion of defects in quantum crystals like solid helium as a new phenomenon are presented. Quantum effects in such media lead to a delocalization of point defects (vacancies, impurities…

Materials Science · Physics 2009-11-10 Dimitar I. Pushkarov

The scattering of a charged scalar field on Coulomb potential is studied using solutions of the Klein-Gordon equation which have a definite momentum. One obtains that in contrast with what happens on Minkowski case the modulus of momentum…

High Energy Physics - Theory · Physics 2015-04-17 Crucean Cosmin

We apply a type of background independent "polymer" quantization to a free scalar field in a flat spacetime. Using semi-classical states, we find an effective wave equation that is both nonlinear and Lorentz invariance violating. We solve…

High Energy Physics - Theory · Physics 2009-09-30 Golam Mortuza Hossain , Viqar Husain , Sanjeev S. Seahra

The one-dimensional Klein-Gordon equation is investigated with the most general Lorentz structure for the external potentials. The analysis and calculation of the reflection and transmission coefficients for the scattering of particles in a…

Quantum Physics · Physics 2008-11-26 Tatiana R. Cardoso , Antonio S. de Castro

In this paper, the relativistic quantum dynamics of a scalar particle under the effect of Lorentz symmetry violation determined by a tensor $(K_{F})_{\mu\,\nu\,\alpha\,\beta}$ out of the Standard Model Extension is investigated. We see that…

General Relativity and Quantum Cosmology · Physics 2021-06-25 Faizuddin Ahmed

We present a simple model of defects embedded in flat spacetime, where the model is designed to maintain Lorentz invariance over large length scales. Even without remnant Lorentz violation, there are still effects from these spacetime…

High Energy Physics - Theory · Physics 2017-10-18 F. R. Klinkhamer , J. M. Queiruga

Scalar particles--i.e., scalar-field excitations--in de Sitter space exhibit behavior unlike either classical particles in expanding space or quantum particles in flat spacetime. Their energies oscillate forever, and their interactions are…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Ian H. Redmount

Consideration of vacuum polarization in quantum electrodynamics may affect the momentum dispersion relation for photons for a non-trivial background, due to appearance of curvature dependent terms in the effective action. We investigate the…

General Relativity and Quantum Cosmology · Physics 2015-05-19 Sourav Bhattacharya

We analyse the Klein-Gordon oscillator in a cosmic string space-time and study the effects stemming from the rotating frame and non-commutativity in momentum space. We show that the latter mimics a constant magnetic field, imparting…

General Relativity and Quantum Cosmology · Physics 2022-04-08 R. R. Cuzinatto , M. de Montigny , P. J. Pompeia

We study the phenomenon of mass loss by a scalar charge -- a point particle which acts as a source for a (non-interacting) scalar field -- in (1+1)-dimensional and (2+1)-dimensional flat spacetime. We find that such particles are unstable…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Lior M. Burko

There is a growing evidence that due to quantum gravity effects the effective spacetime dimensionality might change in the UV. In this letter we investigate this hypothesis by using quantum fields to derive the UV behaviour of the static,…

High Energy Physics - Theory · Physics 2017-05-24 Michele Arzano , Jerzy Kowalski-Glikman

We discuss quantum inequalities for minimally coupled scalar fields in static spacetimes. These are inequalities which place limits on the magnitude and duration of negative energy densities. We derive a general expression for the quantum…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Michael J. Pfenning , L. H. Ford

We study the Klein-Gordon-Zakharov system in two spatial dimensions, an important model in plasma physics. For small, smooth, and spatially localized initial data, we establish the global existence of solutions and characterize their sharp…

Analysis of PDEs · Mathematics 2025-09-04 Shijie Dong , Zihua Guo , Kuijie Li

The propagation of scalar and spinor fields in a spacetime whose metric changes signature is analyzed. Recent work of Dray et al. on particle production from signature change for a (massless) scalar field is reviewed, and an attempt is made…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Joseph D. Romano

Scalar-tensor theories are among the most promising alternatives to general relativity that have been developed to account for some long standing issues in our understanding of gravity. Some of these theories predict the existence of a…

High Energy Astrophysical Phenomena · Physics 2021-01-06 J. Soldateschi , N. Bucciantini , L. Del Zanna

In this work we continue the systematic study of observable effects emerging from modified dispersion relations. We study the motion of test particles subject to a general first order modification of the general relativistic dispersion…

General Relativity and Quantum Cosmology · Physics 2022-09-01 Dagmar Läänemets , Manuel Hohmann , Christian Pfeifer

This paper encompasses a set of stellar equations that administer the formation and evolution of self-gravitating, dissipative spherically symmetric fluid distributions having anisotropic stresses in the presence of electromagnetic field.…

General Relativity and Quantum Cosmology · Physics 2021-12-09 M. Z. Bhatti , Z. Tariq

The effects of phase space deformations in standard scalar field cosmology are studied. The deformation is introduced by modifying the symplectic structure of the minisuperspace variables to have a deformed Poisson algebra among the…

High Energy Physics - Theory · Physics 2013-08-09 S. Pérez-Payán , M. Sabido , C. Yee

We revisit the quantum theory of a massive, minimally coupled scalar field, propagating on the Planck-era isotropic cosmological quantum spacetime which transitions to a classical spacetime in later times. The quantum effects modify the…

General Relativity and Quantum Cosmology · Physics 2020-03-06 Saeed Rastgoo , Yaser Tavakoli , Julio C. Fabris