Searcharxiv⌕ Search
Home/Archive/arXiv

arXiv · math-ph/9902004

Shock-Free Wave Propagation in Gauge Theories

J. McCarthy·O. Sarioglu
View original source ↗Read source document ↗Export metadata ↓

Abstract

We present the shock-free wave propagation requirements for massless fields. First, we briefly argue how the "completely exceptional" approach, originally developed to study the characteristics of hyperbolic systems in 1+1 dimensions, can be generalized to higher dimensions and used to describe propagation without emerging shocks, with characteristic flow remaining parallel along the waves. We then study the resulting requirements for scalar, vector, vector-scalar and gravity models and characterize physically acceptable actions in each case.

Explore related subjects

math-phgr-qchep-thmath.MP

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

J. McCarthy, O. Sarioglu. 1999-02-02. Shock-Free Wave Propagation in Gauge Theories. https://doi.org/10.1023/a%3A1003659520136

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

Modeling of point charges with distributions, regularizations, and generalized functions

We apply regularization and generalized function techniques to the classical electromagnetic field of a point-charge, following a strategy by the physicist A. Gsponer 2007-2009, thereby extending it and adding rigor.. We show how the Liénard-Wiechert potential emerges essentially from the basic geometry of Minkowski space, namely by action of the d'Alembertian on a generating vector field, which is defined via a spacetime interval between an observer and the point-charge at retarded proper time. Furthermore, for a charged particle in its rest frame, we discuss generalized functions aspects of the electric monopole, magnetic dipole, electron singularity, and self-energy, where infinitely large generalized numbers occur whose concrete representations can be applied in field renormalization.

math-ph↗
arXiv2026

Variational derivation of the homogeneous Boltzmann equation

We introduce a variational formulation of the homogeneous Boltzmann equation, with hard-sphere cross section, which selects the unique energy conserving solution. We prove that this solution arises from the microscopic dynamics, namely Kac's walk, and we establish the propagation in time of entropic chaoticity, under the minimal assumption that the initial distribution is entropically chaotic.

math-ph↗
arXiv2026

Noether symmetries and conservation laws of a class of time-dependent multidimensional nonlinear wave equations

Conservation laws of a class of time-dependent damped nonlinear multidimensional wave equations are derived by Noether's theorem. For arbitrary nonzero damping coefficient and nonlinear interaction term, its infinitesimal variational symmetries span a Euclidean algebra $\euclid(n)$ of space translations and rotations. They produce conservation of linear and angular momentums. For some specific forms of these two terms symmetry algebra is enlarged to a subalgebra of the conformal algebra $\conf(1,n)$ and in this case more interesting conservation laws are found.

math-ph↗