4 x 4 matrices in Dirac parametrization: inversion problem and determinant
High Energy Physics - Theory
2008-02-15 v2
Abstract
Parametrization of complex 4 x 4 - matrices G in terms of Dirac tensor parameters (A,B,A_{l},B_{l},F_{kl}) or equivalent four complex 4-vectors (k,m,n,l) is investigated. In the given parametrization, the problem of inverting any 4 x 4 matrix G is solved. Expression for determinant of any matrix G is found: det G = F(k,m,n,l).
Cite
@article{arxiv.0709.3574,
title = {4 x 4 matrices in Dirac parametrization: inversion problem and determinant},
author = {V. M. Red'kov and A. A. Bogush and N. G. Tokarevskaya},
journal= {arXiv preprint arXiv:0709.3574},
year = {2008}
}
Comments
32 pages, several sections removed, several references added