Results 41 to 50 of about 659,749 (230)

Uniqueness of Galilean conformal electrodynamics and its dynamical structure

open access: yesJournal of High Energy Physics, 2019
We investigate the existence of action for both the electric and magnetic sectors of Galilean Electrodynamics using Helmholtz conditions. We prove the existence of unique action in magnetic limit with the addition of a scalar field in the system.
Kinjal Banerjee   +2 more
doaj   +1 more source

A Superalgebra Within: Representations of Lightest Standard Model Particles Form a Z25$\mathbb {Z}_2^5$‐Graded Algebra

open access: yesAnnalen der Physik, EarlyView.
 A set of particle representations, familiar from the Standard Model, collectively form a superalgebra. Those representations mirroring the behaviour of the Standard Model's gauge bosons, and three generations of fermions, are each included in this algebra, with exception only to those representations involving the top quark.
N. Furey
wiley   +1 more source

Quantum GraviElectro Dynamics

open access: yesAnnalen der Physik, EarlyView.
The BRST invariant Lagrangian of the gravitationally interacting U(1)$U(1)$ gauge theory, namely the Quantum GraviElectro Dynamics (QGED). The Yan–Mills theory with the Hilbert–Einstein gravitational Lagrangian, namely the Yang–Mills–Utiyama (YMU) theory, is defined and quantised using the standard procedure. The theory is perturbatively renormalisable,
Yoshimasa Kurihara
wiley   +1 more source

Global surpluses of spin-base invariant fermions

open access: yesPhysics Letters B, 2015
The spin-base invariant formalism of Dirac fermions in curved space maintains the essential symmetries of general covariance as well as similarity transformations of the Clifford algebra.
Holger Gies, Stefan Lippoldt
doaj   +1 more source

Yang-Mills gauge fields conserving the symmetry algebra of the Dirac equation in a homogeneous space [PDF]

open access: yes, 2014
We consider the Dirac equation with an external Yang-Mills gauge field in a homogeneous space with an invariant metric. The Yang-Mills fields for which the motion group of the space serves as the symmetry group for the Dirac equation are found by ...
A. Breev, A. Shapovalov
semanticscholar   +1 more source

Random discrete probability measures based on a negative binomial process

open access: yesCanadian Journal of Statistics, EarlyView.
Abstract A distinctive functional of the Poisson point process is the negative binomial process for which the increments are not independent but are independent conditional on an underlying gamma variable. Using a new point process representation for the negative binomial process, we generalize the Poisson–Kingman distribution and its corresponding ...
Sadegh Chegini, Mahmoud Zarepour
wiley   +1 more source

κ-Deformation of an extended Dirac oscillator

open access: yesResults in Physics, 2019
We study a deformation, based on the κ-Poincaré-Hopf algebra, of an extended version of the Dirac oscillator, where the latter is coupled to a pseudoscalar Coulomb potential.
Yassine Chargui
doaj   +1 more source

Solving the Fractional Schrödinger Equation with Singular Initial Data in the Extended Colombeau Algebra of Generalized Functions

open access: yesInternational Journal of Differential Equations, 2023
This manuscript aims to highlight the existence and uniqueness results for the following Schrödinger problem in the extended Colombeau algebra of generalized functions. 1/ı∂/∂tut,x−△ut,x+vxut,x=0,t∈R+,x∈Rn,vx=δx,u0,x=δx, where δ is the Dirac distribution.
Ali El Mfadel   +3 more
doaj   +1 more source

Sharp commutator estimates of all order for Coulomb and Riesz modulated energies

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley   +1 more source

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