Calculations of Dirac-spinor amplitudes by means of complex Lorentz-transformations and trace calculus

A method for expressing spinor amplitudes M=vectorμ(p1sigma1)GAMMAsubMμ(psigma) in a formal covariant way and calculating them by trace calculations is described. By means of complex Lorentz transformations an expression for μ(psigma)vectorμ(p1sigma1) in terms of Dirac γ-matrices, four vectors and the complex Lorentz transformation coefficients is obtained. M can then be written as a trace of γ-matrices similar to the expression for Σsub(pol)matrixM2. The method is easily extended to cases when higher spin spinors and matrices are involved. (Auth.)