Dirac and Higher-Spin Equations of Negative Energies

Details Dirac and Higher-Spin Equations of Negative Energies Dirac and Higher-Spin Equations of Negative Energies

2011-10-20

arxiv.org/abs/1110.6363v1

Physics

General Physics

8 pages, no figures. The talk at the LIV Congreso Nacional de Fisica. Merida, Yucatan, Mexico, Oct. 10-14, 2011

Scientific paper

It is easy to check that both algebraic equation Det (\hat p - m) =0 and Det (\hat p + m) =0 for 4-spinors u- and v- have solutions with p_0= \pm E_p =\pm \sqrt{{\bf p}^2 +m^2}. The same is true for higher-spin equations. Meanwhile, every book considers the p_0=E_p only for both u- and v- spinors of the (1/2,0)\oplus (0,1/2)) representation, thus applying the Dirac-Feynman-Stueckelberg procedure for elimination of negative-energy solutions. Recent works of Ziino (and, independently, of several others) show that the Fock space can be doubled. We re-consider this possibility on the quantum field level for both s=1/2 and higher spins particles.

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