High Energy Particle Physics

    

Negative Energies in the Dirac Equation

Authors: Valeriy V. Dvoeglazov

It is easy to check that both algebraic equation Det(ˆp − m) = 0 and Det(ˆp + m) = 0 for u− and v− 4-spinors have solutions with p_0 = ±E_p = ± sqrt {p^2 + m^2}. The same is true for higher-spin equations. Meanwhile, every book considers the equality p_0 = E_p for both u− and v− spinors of the (1/2, 0)+(0, 1/2) representation only, thus applying the Dirac-Feynman-Stueckelberg procedure for elimination of the negative-energy solutions. The recent Ziino works (and, independently, the articles 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 spin particles.

Comments: 25 Pages. Talk at the XIII Taller DGFM SMF, Leon, Gto, Forum Universitario, Nov. 4-8, 2019 Parallel Talk, 05.11.2019, Nov 2019, Leon, Mexico.

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[v1] 2020-08-23 10:44:26

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