The Barut Second-Order Equation: Lagrangian, Dynamical Invariants and Interactions

Details The Barut Second-Order Equation: Lagrangian, Dynamical Invariants and Interactions The Barut Second-Order Equation: Lagrangian, Dynamical Invariants and Interactions

2007-02-07

arxiv.org/abs/hep-th/0702058v1

Adv.Appl.Clifford Algebras.18:579-585,2008

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, no figures. The talk given at the Int. Conf. on Clifford Algebras and Applications (ICCA7), Toulouse, France, May 19-

Scientific paper

10.1007/s00006-008-0092-9

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.

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