By G. Ruggiu (auth.), Thomas Beth, Norbert Cot, Ingemar Ingemarsson (eds.)
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Additional info for Advances in Cryptology: Proceedings of EUROCRYPT 84 A Workshop on the Theory and Application of Cryptographic Techniques Paris, France, April 9– 11, 1984
For the moment we continue to discuss the non-quantized Dirac theory a little more. In the rest of the section we recall the many-particle Dirac formalism. In the context of this formalism we can make some statements about the possibility of formulating a Lorentz invariant pilot-wave model. Similar statements will also apply in the context of quantum field theory. rN (x1 , . . , xN , t) with N spin indices. The wavefunction is assumed to be anti-symmetric in order to µ , αi(r) and β(r) satisfy the Pauli principle.
18)) which results in iD0 ψ = (−iβ˜i Di + mβ0 )ψ, iβ i β02 Di ψ = m(1 − β02 )ψ. 86). This additional term has no equivalent in the spin1/2 Dirac theory and is hard to interpret [74, 89, 101]. It has recently been argued that this additional term is irrelevant [89, 101]. The argument is that when the DKP theory is reduced to its physical components, then the DKP theory reduces to the minimally coupled Klein-Gordon theory in the spin-0 44 case and to the minimally coupled Proca theory in the spin-1 case, where the anomalous term containing F µν disappears.
0N = . 0N are assumed to be future-causal, the trajectories will be time-like or null. 0N . µN are generated by considering generalizations of the vector nµ in the one-particle case. µN = aµ1 . . aµN . 0N is future-causal for every r = 1, . . , N (r) runs as follows. 4 it was shown that the operator Γ0µ aµ is positive in spin space M , where M is the dimension of the representation of the β matrices. As a result the operator (1) (r) (N ) Γ = Γ0ν1 aν1 . . Γ0νr aνr . . 70) where the hat indicates that the term should be omitted from the product, is a positive operator in N − 1 particle spin space ( M )⊗(N −1) .