Speaker
Description
Abstract
We analyzed the recent controversies in the definitions of the
Feynman-Dyson propagator for the field operator. In this work we
present some insights with respect to this for spin 1/2. Both
algebraic equation $Det(\hat p − m) = 0$ and $Det(\hat p + m) = 0$ for
u− and v− 4-spinors have solutions with
$p_0 = \pm E_p = \pm \sqrt{p^2 + m^2}$. The same is true for
higher-spin equations (or they may even have more complicated
dispersion relations, tachyons). The Fock space can be doubled on the
quantum-field (QFT) level. In this talk we give additional bases
for the development of the correct theory of spin particles in QFT. It
seems, that it is imposible to consider the relativistic quantum
mechanics appropriately without negative energies, tachyons and
appropriate forms of the discrete symmetries, and their actions on the corresponding physical states.
