Relativistic Equations for Spin Particles: What Can We Learn From Noncommutativity?

Abstract

We derive relativistic equations for charged and neutral spin particles. The approach for higher-spin particles is based on generalizations of the Bargmann-Wigner formalism. Next, we study, what new physical information can the introduction of non-commutativity give us. Additional non-commutative parameters can provide a suitable basis for explanation of the origin of mass.

Comments: 5 pages, aipproc.cls, no figures, presented at the XXVIII WGMP09, Bialowieza, Poland, June 28-July 4, 2009. The extended version is contributed to the 12th International Workshop "What Comes Beyond the Standard Models?", July 14- 24, 2009, Bled, Slovenia