0000000000236782
AUTHOR
H. Liivat
"Dynamical" interactions and gauge invariance
Appreciating the classical understanding of the elementary particle the "dynamical" Poincare algebra is developed. It is shown that the "dynamical" Poincare algebra and the equations of motion of particles with arbitrary spin are gauge invariant and that gauge invariance and relativistic invariance stand on equal footings. A "dynamical" non-minimal interaction is constructed explicitly and the Rarita-Schwinger equation is considered in the framework of this "dynamical" interaction.
Symmetries and similarities for spin orientation parameters in at SM thresholds
Abstract We consider the spin orientation of the final Z bosons for the processes in the Standard Model. We demonstrate that at the threshold energies of these processes the analytical expressions for the Z boson polarization vectors and alignment tensors coincide ( e + e − → Z H , Z γ ) or are very similar ( e + e − → Z Z ). In addition, we present interesting symmetry properties for the spin orientation parameters.
Lorentz invariance and gauge equivariance
Trying to place Lorentz and gauge transformations on the same foundation, it turns out that the first one generates invariance, the second one equivariance, at least for the abelian case. This similarity is not a hypothesis but is supported by and a consequence of the path integral formalism in quantum field theory.