The Barut Second-Order Equation: Lagrangian, Dynamical Invariants and Interactions
High Energy Physics - Theory
2011-09-13 v1 Mathematical Physics
math.MP
Classical Physics
Abstract
The second-order equation in the (1/2,0)+(0,1/2) representation of the Lorentz group has been proposed by A. Barut in the 70s. It permits to explain the mass splitting of leptons (e,mu,tau). Recently, the interest has grown to this model (see, for instance, the papers by S. Kruglov and J. P. Vigier et al). We continue the research deriving the equation from the first principles, finding dynamical invariants for this model, investigating the influence of potential interactions.
Cite
@article{arxiv.hep-th/0702058,
title = {The Barut Second-Order Equation: Lagrangian, Dynamical Invariants and Interactions},
author = {Valeri V. Dvoeglazov},
journal= {arXiv preprint arXiv:hep-th/0702058},
year = {2011}
}
Comments
8 pages, no figures. The talk given at the Int. Conf. on Clifford Algebras and Applications (ICCA7), Toulouse, France, May 19-29, 2005. To be published in the Proceedings