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Extended gauge theory and gauged free differential algebras
(2018)
Recently, Antoniadis, Konitopoulos and Savvidy introduced, in the context of the so-called extended gauge theory, a procedure to construct background-free gauge invariants, using non-abelian gauge potentials described by ...
The Dirac-Hestenes equation for spherical symmetric potentials in the spherical and Cartesian gauges
(2006-08-10)
In this paper, using the apparatus of the Clifford bundle formalism, we show how straightforwardly solve in Minkowski space-time the Dirac-Hestenes equation - which is an appropriate representative in the Clifford bundle ...
The Dirac-Hestenes equation for spherical symmetric potentials in the spherical and Cartesian gauges
(2006-08-10)
In this paper, using the apparatus of the Clifford bundle formalism, we show how straightforwardly solve in Minkowski space-time the Dirac-Hestenes equation - which is an appropriate representative in the Clifford bundle ...
The Simplest Way to Prove That Gauge Transformation between the Coulomb and Lorenz Gauges Must Not Exist
(Canadian Center of Science and Education, 2013-12)
In this brief paper we propose to prove a theorem on non-classical symmetries for systems of differential equations whose solutions are related by means of a linear constraint. What we obtain is a representation of the ...
Generalized Bäcklund transformations for Toda field theories
(Universidade Estadual Paulista (Unesp), 2022-08-11)
Nesta tese fazemos um profundo estudo sobre as Transformações de Bäcklund (BT). Essas deixam as equações de uma teoria específica invariantes. Escolhemos o modelo de Toda generalizado dos quais obteremos as BT, essa escolha ...