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Motivated by different approaches to quantum gravity, one could consider that Lorentz invariance is not an exact symmetry of nature at all energy scales. Following this spirit, modified dispersion relations have been used to encapsulate…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Mikel Artola , José A. R. Cembranos , Prado Martín-Moruno

At high energy scale the only quantum effect of any asymptotic free and asymptotically conformal invariant GUT is the trace anomaly of the energy-momentum tensor. Anomaly generates the new degree of freedom, that is propagating conformal…

High Energy Physics - Theory · Physics 2009-02-25 I. L. Shapiro , G. Cognola

Lorentz and CPT invariance are among the symmetries that can be investigated with ultrahigh precision in subatomic physics. Being spacetime symmetries, Lorentz and CPT invariance can be violated by minuscule amounts in many theoretical…

High Energy Physics - Phenomenology · Physics 2016-04-21 Ralf Lehnert

Lorentz invariance violation in quantum gravity (QG) models or a nonzero photon mass, $m_\gamma$, would lead to an energy-dependent propagation speed for photons, such that photons of different energies from a distant source would arrive at…

General Relativity and Quantum Cosmology · Physics 2021-11-19 Deaglan J. Bartlett , Harry Desmond , Pedro G. Ferreira , Jens Jasche

In this paper, $f(R,\lm, T)$ gravity is considered. It is a generalization of the theories $f(R,T)$ and $f(R, \lm)$. This modified theory of gravity exhibits strong geometry-matter coupling. The problem of causality and its violation is…

General Relativity and Quantum Cosmology · Physics 2024-11-19 J. S. Gonçalves , A. F. Santos

In quantum theory of gravity, we expect the Lorentz Invariance Violation (LIV) and the modification of the dispersion relation between energy and momentum for photons. The effect of the energy-dependent velocity due to the modified…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-24 Yu Pan , Yungui Gong , Shuo Cao , He Gao , Zong-Hong Zhu

We show that QED nonlinear effects imply a phase correction to the linear evolution of electromagnetic waves in vacuum. We provide explicit solutions of the modified Maxwell's equations for the propagation of a superposition of two plane…

Optics · Physics 2009-11-13 Albert Ferrando , Humberto Michinel , Marcos Seco , Daniele Tommasini

We derive an effective equation and action for comoving curvature perturbations and gravitational waves (GWs) in terms of a time, momentum and polarization dependent effective speed, encoding the effects of the interaction among metric…

General Relativity and Quantum Cosmology · Physics 2024-06-21 Antonio Enea Romano

We review the literature on possible violations of the superposition principle for electromagnetic fields in vacuum from the earliest studies until the emergence of renormalized QED at the end of the 1940's. The exposition covers…

History and Philosophy of Physics · Physics 2023-10-24 K. Scharnhorst

We examine the role of consistency with causality and quantum mechanics in determining the properties of gravitation. We begin by examining two different classes of interacting theories of massless spin 2 particles -- gravitons. One…

High Energy Physics - Theory · Physics 2020-12-24 Mark P. Hertzberg

The relentless efforts of the physics community has not yet availed us the solution of how to unify the Quantum Mechanics with General Relativity, a puzzle that has engaged the minds of the physicists for almost a century. The insufficiency…

High Energy Physics - Phenomenology · Physics 2016-02-25 Soner Albayrak

We introduce a nonperturbative, first principles numerical approach for solving time-dependent problems in quantum field theory, using light-front quantization. As a first application we consider QED in a strong background field, and the…

Nuclear Theory · Physics 2013-09-19 Xingbo Zhao , Anton Ilderton , Pieter Maris , James P. Vary

The effective interaction of the electron magnetic moment anomaly with the Coulomb field of superheavy nuclei is investigated by taking into account its dynamical screening at small distances. The shift of the electronic levels, caused by…

Atomic Physics · Physics 2019-02-05 Artem Roenko , Konstantin Sveshnikov

It has been known for a long time that vacuum polarization in QED leads to a superluminal low-frequency phase velocity for light propagating in curved spacetime. Assuming the validity of the Kramers-Kronig dispersion relation, this would…

High Energy Physics - Theory · Physics 2008-11-26 Timothy J. Hollowood , Graham M. Shore

The Lorentz violation~(LV) effect of ultra-relativistic particles can be tested by gamma-ray burst~(GRB) neutrinos and photons. The IceCube Collaboration has observed plenty of ultra-high energy neutrinos, including four events of PeV scale…

High Energy Physics - Phenomenology · Physics 2018-10-04 Yanqi Huang , Bo-Qiang Ma

A consistent approach for an exhaustive solution of the problem of propagation of light rays in the field of gravitational waves emitted by a localized source of gravitational radiation is developed in the first post-Minkowskian and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sergei M. Kopeikin , Gerhard Schafer , Carl R. Gwinn , T. Marshall Eubanks

High-order spatial derivatives are of crucial importance for constructing the low energy effective action of a Lorentz or parity violating theory of quantum gravity. One example is the Ho\v{r}ava-Lifshitz gravity, in one has to consider at…

General Relativity and Quantum Cosmology · Physics 2022-03-02 Cheng Gong , Tao Zhu , Rui Niu , Qiang Wu , Jing-Lei Cui , Xin Zhang , Wen Zhao , Anzhong Wang

In a recent paper, we have shown that the QED nonlinear corrections imply a phase correction to the linear evolution of crossing electromagnetic waves in vacuum. Here, we provide a more complete analysis, including a full numerical solution…

Optics · Physics 2009-11-13 Daniele Tommasini , Albert Ferrando , Humberto Michinel , Marcos Seco

We propose a new non-perturbative method for studying UV complete unitary quantum field theories (QFTs) with a mass gap in general number of spacetime dimensions. The method relies on unitarity formulated as positive semi-definiteness of…

High Energy Physics - Theory · Physics 2021-07-21 Denis Karateev , Simon Kuhn , Joao Penedones

We study quantum electrodynamics (QED) in the light-front dynamical form by using null-plane causal perturbation theory. We establish the equivalence with instant dynamics for the scattering processes, whose normalization allows to…

High Energy Physics - Theory · Physics 2022-08-17 O. A. Acevedo , B. M. Pimentel