SPINORS, THE DIRAC FORMALISM AND CORRECT COMPLEX CONJUGATION

Authors
BASRI SA BARUT AO
Citation
Sa. Basri et Ao. Barut, SPINORS, THE DIRAC FORMALISM AND CORRECT COMPLEX CONJUGATION, International journal of modern physics A, 8(21), 1993, pp. 3631-3648
Citations number
NO
Categorie Soggetti
Physics, Nuclear
Journal title
International journal of modern physics A → ACNP
ISSN journal
0217751X
Volume
8
Issue
21
Year of publication
1993
Pages
3631 - 3648
Database
ISI
SICI code
0217-751X(1993)8:21<3631:STDFAC>2.0.ZU;2-2
Abstract
It is pointed out that in the Dirac formalism psi(dagger)gamma0psi is not a correct spinorial expression and should be replaced by psi(dagge r)C0psi where C0 is a Lorentz-invariant quantity with different spinor ial indices than gamma0. Although C0 has the same matrix value as gamm a0 in flat space-time, the two quantities are different in curved spac e-time. However, gamma0 retains its role as the time component of a 4- vector, and as a factor in the parity and time reversal states.