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We give a systematic and thorough study of geometric notions and results connected to Minkowski's measure of symmetry and the extension of the well-known Minkowski functional to arbitrary, not necessarily symmetric convex bodies K on any…

Classical Analysis and ODEs · Mathematics 2007-05-23 Szilard Gy. Revesz

The theory of gauge transformations in linearized gravitation is investigated. After a brief discussion of the fundamentals of the kinetic theory in curved spacetime, the Einstein-Vlasov-Maxwell system of equations in terms of gauge…

Plasma Physics · Physics 2024-08-06 Lucas Bourscheidt , Fernando Haas

We have recently shown that the electromagnetic field in a medium is made of mass-polariton (MP) quasiparticles, which are quantized coupled states of the field and an atomic mass density wave (MDW) [Phys. Rev. A 95, 063850 (2017)]. In this…

Optics · Physics 2018-01-03 Mikko Partanen , Jukka Tulkki

As experimental constraints on the parameter space of the MSSM and close variations thereof become stronger, the motivation to explore supersymmetric models that challenge some of the standard assumptions of the MSSM also become stronger.…

High Energy Physics - Phenomenology · Physics 2015-06-18 Hugues Beauchesne , Thomas Gregoire

We examine the Lorentz non-invariance ambiguity in longitudinal weak-boson scatterings and the precise conditions for the validity of the Equivalence Theorem (ET). {\it Safe} Lorentz frames for applying the ET are defined, and the intrinsic…

High Energy Physics - Phenomenology · Physics 2010-11-01 Hong-Jian He , Yu-Ping Kuang , C. -P. Yuan

We have studied a (1+2)-dimensional Lorentz-violating model which is obtained from the dimensional reduction of the nonbirefringent sector of the CPT-even electrodynamics of the standard model extension (SME). The planar theory contains a…

High Energy Physics - Theory · Physics 2012-03-08 Rodolfo Casana , Manoel M. Ferreira , Roemir P. M. Moreira

Applying the Helmholtz Decomposition theorem to linearized General Relativity leads to a gauge-invariant formulation where the transverse-traceless part of the metric perturbation describes gravitational waves in matter. Gravitational waves…

General Relativity and Quantum Cosmology · Physics 2022-07-19 NA Inan , JJ Thompson , RY Chiao

We continue the development of a manifestly 4-dimensional, completely covariant, approach to transformation optics in linear dielectric materials begun in a previous paper. This approach, which generalizes the Plebanski based approach, is…

Optics · Physics 2011-04-18 Robert T. Thompson , Steven A. Cummer , Jörg Frauendiener

We consider the tensor formulation of the non-linear O(2) sigma model and its gauged version (the compact Abelian Higgs model), on a $D$-dimensional cubic lattice, and show that tensorial truncations are compatible with the general…

High Energy Physics - Lattice · Physics 2019-07-17 Yannick Meurice

We present a detailed investigation of the skewness dependence of quark Wigner distributions within the light-front dressed quark model. While previous studies have largely focused on the forward limit, we explore the impact of nonzero…

High Energy Physics - Phenomenology · Physics 2025-07-25 Sujit Jana , Vikash Kumar Ojha

We study the wave propagation in nonlinear electrodynamical models. Particular attention is paid to the derivation and the analysis of the Fresnel equation for the wave covectors. For the class of general nonlinear Lagrangian models, we…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Yuri N. Obukhov , Guillermo F. Rubilar

The possibility of physics beyond the standard model is studied. The requirement of finiteness of the zero point energy density and pressure or the requirement of the Lorentz invariance of the zero point stress-energy tensor in Minkowski…

High Energy Physics - Phenomenology · Physics 2019-08-02 Damian Ejlli

We derive a dispersion relation for the S parameter in the SO(5)/SO(4) Minimal Composite Higgs model. This generalizes the Peskin-Takeuchi formula to the case when a light Higgs boson is present in the spectrum. Our result combines an IR…

High Energy Physics - Phenomenology · Physics 2015-06-12 Axel Orgogozo , Slava Rychkov

Lorentz symmetry (LS), one of the most fundamental physical symmetries, has been extensively studied in the context of quantum gravity and unification theories. Many of these theories predict a LS violation, which could arise from the…

General Relativity and Quantum Cosmology · Physics 2023-10-16 Cheng-Gang Qin , Jun Ke , Qin Li , Ya-Fen Chen , Jie Luo , Yu-Jie Tan , Cheng-Gang Shao

The form of the energy-momentum tensor when a quasimonochromatic field propagates into and through an antireflection-coated, sourceless, transparent, continuous, linear magneto-dielectric medium, initially at rest in the local frame,…

Optics · Physics 2022-11-21 Michael E. Crenshaw

Low-energy alternatives to General Relativity (GR) generically modify the phase of gravitational waves (GWs) during their propagation. As detector sensitivities increase, it becomes key to understand how these modifications affect the GW…

General Relativity and Quantum Cosmology · Physics 2022-08-17 Jose Maria Ezquiaga , Wayne Hu , Macarena Lagos , Meng-Xiang Lin , Fei Xu

Based on an integration by parts formula for closed and convex subsets $\Gamma$ of a separable real Hilbert space $H$ with respect to a Gaussian measure, we first construct and identify the infinite dimensional analogue of the obliquely…

Probability · Mathematics 2015-12-31 Michael Röckner , Gerald Trutnau

In this paper, we provide a general framework for the construction of the Einstein frame within non-linear extensions of the teleparallel equivalents of General Relativity. These include the metric teleparallel and the symmetric…

General Relativity and Quantum Cosmology · Physics 2021-05-13 Jose Beltrán Jiménez , Tomi S. Koivisto

We consider the theory of a symmetric tensor field in 4D, invariant under a subclass of infinitesimal diffeomorphism transformations, where the vector diff parameter is the 4-divergence of a scalar parameter. The resulting gauge symmetry…

High Energy Physics - Theory · Physics 2022-07-20 Alberto Blasi , Nicola Maggiore

We analyze observational constraints from TeV astrophysics on Lorentz violating nonlinear dispersion for photons and electrons without assuming any a priori equality between the photon and electron parameters. The constraints arise from…

High Energy Physics - Phenomenology · Physics 2009-11-07 Ted Jacobson , Stefano Liberati , David Mattingly