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Lorentz covariance is the fundamental principle of every relativistic field theory which insures consistent physical descriptions. Even if the space-time is noncommutative, field theories on it should keep Lorentz covariance. In this paper,…

High Energy Physics - Theory · Physics 2007-05-23 Yoshitaka Okumura , Katsusada Morita , Kouhei Imai

We consider an effective theory for a shift-symmetric, quadratically-coupled, ultralight spin-0 field. The leading CP-conserving interactions with Standard Model fields in the effective theory arise at dimension 8. We discuss the…

High Energy Physics - Phenomenology · Physics 2026-01-05 Minyuan Jiang , Benjamin D. Pecjak , Gilad Perez , Somasundaram Sankaranarayanan

A general method is presented to build all gauge-invariant terms in gauge field theories, including quantum electrodynamics and quantum chromodynamics. It is applied to two experiments, light-by-light scattering and deep inelastic…

High Energy Physics - Phenomenology · Physics 2020-09-04 Zonghao Li

We consider two alternative dark energy models: a Lorentz invariance preserving model with a nonminimally coupled scalar field and a Lorentz invariance violating model with a minimally coupled scalar field. We study accelerated expansion…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Kourosh Nozari , S. Davood Sadatian

We investigate a class of models described by two real scalar fields in two-dimensional spacetime. The study focuses mainly on the presence of exact static solutions which satisfy the first-order formalism, in models constructed to engender…

High Energy Physics - Theory · Physics 2026-03-23 G. H. Bandeira , D. Bazeia , G. S. Santiago , Ya. Shnir

We consider the radiation emitted by an ultrarelativistic charged particle moving in a magnetic field, in the presence of an additional Lorentz-violating interaction. In contrast with prior work, we treat a form of Lorentz violation that is…

High Energy Physics - Theory · Physics 2007-05-23 B. Altschul

We consider the gravitational effects of a single, fixed-norm, Lorentz-violating timelike vector field. In a cosmological background, such a vector field acts to rescale the effective value of Newton's constant. The energy density of this…

High Energy Physics - Theory · Physics 2010-04-06 Sean M. Carroll , Eugene A. Lim

Recent tentative experimental indications, and the subsequent theoretical speculations, regarding possible violations of Lorentz invariance have attracted a vast amount of attention. An important technical issue that considerably…

High Energy Physics - Phenomenology · Physics 2017-11-29 Valentina Baccetti , Kyle Tate , Matt Visser

In Ashtekar's Hamiltonian formulation of general relativity, and in loop quantum gravity, Lorentz covariance is a subtle issue that has been strongly debated. Maintaining manifest Lorentz covariance seems to require introducing either…

General Relativity and Quantum Cosmology · Physics 2012-06-01 Steffen Gielen , Derek K. Wise

In this paper we study Lorentz-Violation(LV) effects on the thermodynamics properties of a real scalar field theory due to the presence of a constant background tensor field. In particular, we analyse and compute explicitly the deviations…

High Energy Physics - Theory · Physics 2021-05-27 A. R. Aguirre , G. Flores-Hidalgo , R. G. Rana , E. S. Souza

A class of explicit numerical schemes is developed to solve for the relativistic dynamics and spin of particles in electromagnetic fields, using the Lorentz-BMT equation formulated in the Clifford algebra representation of Baylis. It is…

Computational Physics · Physics 2021-05-05 R. Cabrera , A. G. Campos , D. I. Bondar , S. MacLean , F. Fillion-Gourdeau

We investigate the behaviour of a massive scalar field under the influence of a Coulomb-type and central linear central potentials inserted in the Klein-Gordon equation by modifying the mass term in the spacetime with Lorentz symmetry…

High Energy Physics - Theory · Physics 2019-05-06 Ricardo L. L. Vitória , Humberto Belich

Many new linearized coefficients for Lorentz violation are discovered in our recent work on the construction of a generic Lorentz-violating effective field theory in curved spacetime. The new coefficients can be constrained by experiments…

General Relativity and Quantum Cosmology · Physics 2023-01-31 Zonghao Li

Classical light bending is investigated for weak gravitational fields in the presence of hypothetical local Lorentz violation. Using an effective field theory framework that describes general deviations from local Lorentz invariance, we…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Rhondale Tso , Quentin G. Bailey

Small violation of Lorentz and CPT symmetries may emerge in models unifying gravity with other forces of nature. An extension of the standard model with all possible terms that violate Lorentz and CPT symmetries are included. Here a…

High Energy Physics - Theory · Physics 2019-03-27 P. R. A. Souza , A. F. Santos , S. C. Ulhoa , F. C. Khanna

Consider the motion of a charged, point particle moving in the complement of a Poisson distribution of hard sphere scatterers in two dimensions under the effect of a fixed magnetic field. Building on, and extending a coupling method…

Probability · Mathematics 2024-11-07 Christopher Lutsko , Balint Toth

In spite of its problems with interactions, the first-quantized Klein-Gordon equation is a satisfactory theory of free spinless particles. Moreover, the usual theory may be extended to describe Lorentz-violating behavior, of the same types…

High Energy Physics - Theory · Physics 2023-07-26 Brett Altschul

A non-conformally invariant coupling between the inflaton and the photon in the minimal Lorentz-violating standard model extension is analyzed. For specific forms of the Lorentz-violating background tensor, the strong-coupling and…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Leonardo Campanelli

We obtain the correct expressions for the energy and normalized eigenfunctions for a spin-zero relativistic quantum oscillator model under the violation of Lorentz symmetry defined by an arbitrary constant vector field $v^{\mu}$.

Quantum Physics · Physics 2024-03-19 Andrés G. Jirón Vicente , Luis B. Castro , Angel E. Obispo

We review the current status of the problem of constructing classical field theory solutions describing stationary vortex rings in Minkowski space in 3+1 dimensions. We describe the known up to date solutions of this type, such as the…

High Energy Physics - Theory · Physics 2008-12-18 Eugen Radu , Mikhail S. Volkov
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