Affiliation:
1. Universidad de Zacatecas, Apartado Postal 636, Suc. 3, Zacatecas 98061, Zac., México
Abstract
Abstract
It is easy to check that both algebraic equation
D
e
t
(
p
^
−
m
)
=
0
$Det(\hat p\, - \,m)\, = \,0$
and
D
e
t
(
p
^
+
m
)
=
0
$Det(\hat p\, + \,m)\, = \,0$
for u– and v– 4-spinors have solutions with
p
0
=
±
E
p
=
±
p
2
+
m
2
.
${p_0}\, = \, \pm {E_p}\, = \, \pm \,\sqrt {{{\bf{p}}^2}\, + \,{m^2}} .$
The same is true for higher-spin equations. Meanwhile, every book considers the 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 reconsider this possibility on the quantum field level for both s=1/2 and higher-spin particles.
Subject
Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics
Reference30 articles.
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